# Using Proportions To Solve Word Problems We can divide both sides of the equation by the same number, without changing the meaning of the equation.When we divide both sides by 20, we find that the building will appear to be 75 feet tall.

Sam tried using a ladder, tape measure, ropes and various other things, but still couldn't work out how tall the tree was. That is OK, you simply have twice as many stones as the number in the ratio ...

so you need twice as much of everything to keep the ratio.

The length and breadth of a rectangle are in the ratio 5 : 4. Solution: Let the breadth of the rectangle be x cm Then, 5 : 4 :: 80 : x⇒ 5/4 = 80/x To get 80 in the numerator, we have to multiply 5 by 16. 4 by 16Thus, 5/4 = 80/(4 × 16) = 80/64So, x = 64Hence, breadth of the rectangle = 64 cm.

From, the above word problems using proportion we get the clear concept how to find whether the two ratios form a proportion or not and word problems.

In the given problem, we have to find the time taken by a person to type 390 words if the person takes 1 minute to type 30 words. This fraction must be proportional to the second fraction.

The second fraction has '390 words' in the numerator and the variable 'x' to represent the time which we have to find. The following proportion is read as "twenty is to twenty-five as four is to five." In problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion.To find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.We can also use cross products to find a missing term in a proportion. In a horror movie featuring a giant beetle, the beetle appeared to be 50 feet long.However, a model was used for the beetle that was really only 20 inches long.Thus; x : y : z = 4/5 : 1 : 7/6 = (4/5 × 30) : (1 × 30) : (7/6 × 30), [Multiply all the terms by the L. The ratio of the length to the width of a sheet of paper is 3 : 2. Solution: Let the width of the sheet of paper be x cm The length of the sheet of paper be 12 cm.(Given)According to the given statement, 12 : x = 3 : 2⇒ x × 3 = 12 × 2, [Since, the product of the means = the product of the extremes]⇒ x = (12 × 2)/3⇒ x = 8Therefore, the width of the sheet of paper is 8 cm.7.To practice Math skills, there is nothing more effective than solving worksheets.Our free to download, printable worksheets help you practice Math concepts, and improve your analytical and problem-solving skills.A 30-inch tall model building was also used in the movie. First, write the proportion, using a letter to stand for the missing term.We find the cross products by multiplying 20 times x, and 50 times 30. Study this step closely, because this is a technique we will use often in algebra.

## Comments Using Proportions To Solve Word Problems

• ###### Ratio Word Problems solutions, examples, videos

Ratio Word Problems relating different things using ratios and algebra, how to solve ratio word problems that have two-term ratios or three-term ratios, examples and step by step solutions, How to solve proportion word problems, questions and answers…

• ###### How to Solve word problems using proportions « Math.

This video shows the method to solve word problems using proportions. In the given problem, we have to find the time taken by a person to type 390 words if the person takes 1 minute to type 30 words. This can be solved using proportions. We take two fractions which are equal. We type '30 words' in the numerator of the first fraction and 1.…

• ###### Step-by-Step Math Problem Solvers for Proportions Sciencing

The pre-algebra concept of proportions builds upon knowledge of fractions, ratios, variables and basic facts. Solving proportions requires finding the unknown numeric value of a variable within a set of ratios that are being compared. You can use step-by-step techniques to clarify and solve proportion problems…

• ###### Free proportion worksheets for grades 6, 7, and 8

Create proportion worksheets to solve proportions or word problems e.g. speed/distance or cost/amount problems. Available both as PDF and html files. Other options include using whole numbers only, numbers with a certain range, or numbers with a certain number of decimal digits.…

• ###### How to Solve math problems using proportions « Math.

Proportions or ratios are fundamental concepts of mathematics. A proportions is an equation that states that two ratios are equal. Hence proportion can be written in two ways as ab=cd or a/b=c/d. In these equations a and d are called as extremes and b,c are called as means. So when working with proportions we can state that product of the.…

• ###### Solving Proportion Word Problems

Solving Proportion Word Problems Answer each question and round your answer to the nearest whole number. 1 Totsakan enlarged the size of a photo to a height of 18 in. What is the new width if it was originally 2 in tall and 1 in wide? 2 A frame is 9 in wide and 6 in tall. If it is reduced to a width of 3 in then how tall will it be? 3 The money used in Saudi Arabia is called the Riyal. The.…