When you are dealing with proportions and ratios, there are different forms of them that you must learn. You already are familiar with numerical ratios, but are you familiar with word-based ones? Let us learn them today! Like word problems, story based proportions have to be converted into numerical ones to understand and resolve afterward. These proportions are presented in the form of statements with one element missing. Let us take an example. If ten inches correspond to 25.4 centimeters, how many centimeters are there in forty inches? You will have to set up the ratios with inches on top for your easiness and then use x for the centimeters that are missing. inches/centimeters = 10/25.4 = 40/x. The next step is to put x on one end of the equal sign and the rest of the lot on the other side. Now, you must make sure that you cross multiply each value on the other end. x = (40 × 25.4)/10 = 101.6.
A ratio is a comparison of two quantities. A proportion, which is an equation with a ratio on each side, states that two ratios are equal. Ratios and proportions can both be expressed in a variety of ways. They can be word based, they can be expressed as a numerical ratio, or they can be expressed as fractions. In these worksheets, your students will be working with proportions that are based on scenario. They will be presented with statements expressing proportion that each have one element missing. They will convert the narrative based proportion to a fraction that includes a variable (representing the element that is missing), solve for the variable, and then fill in the blank to complete each word based proportions problems. This set of worksheets contains step-by-step solutions to sample problems, both simple and more complex problems, reviews, and quizzes. Ample worksheets are also provided for students to practice independently. When finished with this set of worksheets, students will be able to complete word based proportion problems. These worksheets explain how to work with proportions in this format. Sample problems are solved and practice problems are provided.