How To Solve Proportions In Math: A Step-By-Step Guide With Examples

How do you solve a proportion?

To solve a proportion, cross multiply.For example:x/5 = 3/44x = 3 x 5x = 15/4 = 3.75

A proportion is an equation that shows that two ratios are equivalent. In order to solve a proportion, you can follow these steps:

1. Write down the proportion: a/b = c/d
2. Cross-multiply the equation by multiplying the numerator of one ratio by the denominator of the other ratio: ad = bc
3. Solve for the variable you are looking for by isolating it on one side of the equation. You can do this by dividing both sides of the equation by the coefficient of the variable:
– If you are solving for a, divide both sides by d
– If you are solving for b, divide both sides by c
– If you are solving for c, divide both sides by b
– If you are solving for d, divide both sides by a

4. Simplify the expression if possible by reducing any common factors.

For example, if we want to solve the proportion 2/5 = x/15, we can cross-multiply and get 2*15 = 5x, which simplifies to 30 = 5x. Dividing both sides by 5 gives us x=6. Therefore, the solution to the proportion is x=6.

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