Chapter 6.3, Problem 22E

To determine

To evaluate: the proportion $\frac{30}{w}=\frac{24}{12}$ .

Answer to Problem 22E

The answer of the proportion $\frac{30}{w}=\frac{24}{12}$ is $w=15$ .

Explanation of Solution

Given information: The provided proportion is $\frac{30}{w}=\frac{24}{12}$ .

Calculation :

The method used here to solve the proportion is cross products property. The product of the numerator of one ratio and of the denominator of the other is known as a cross product.

  $\begin{array}{l}\frac{30}{w}=\frac{24}{12}\text{ [Write the proportion}\text{.]}\\ 30\times 12=w\times 24\text{}\text{}\text{ [Apply cross products property}\text{.]}\\ 360=24w\text{ [Multiply}\text{.]}\\ \frac{360}{24}=\frac{24w}{24}\text{ [Divide each side by 24 to place the variable on one side of the equation}.]\\ w=15\text{ [Simplify}\text{.]}\end{array}$

Hence, the solution of the proportion $\frac{30}{w}=\frac{24}{12}$ is $w=15$ .