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Describe how to find proportions in algebra with variables.

Question:

Describe how to find proportions in algebra with variables.

Ratio and Proportion

Ratio and proportion have several everyday life applications. They are helpful in the simplest applications like cooking, to more advanced applications like chemistry and physics.

Answer and Explanation:

A ratio is a correspondence of one quantity to another. They may be also be expressed as a fraction. On the other hand, proportions are equal ratios. And since they are equal ratios, their fraction form should be equal as well. Proportions are found in algebra when a ratio is multiplied by a scaling factor, such that

{eq}A:B = kA:kB \Rightarrow \dfrac{A}{B} = \dfrac{kA}{kB} {/eq} for any number k not equal to zero.

So to see if two ratios are the same, you only need to express it to its lowest term, achieved by dividing (or multiplying) both the numerator and numerator by the same factor.


Learn more about this topic:

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Ratios and Proportions: Definition and Examples

from Geometry: High School

Chapter 7 / Lesson 1
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