Chapter 6.3, Problem 27E

To determine

To evaluate: the proportion $\frac{s}{21}=\frac{16}{12}$ .

Answer to Problem 27E

The answer of the proportion $\frac{s}{21}=\frac{16}{12}$ is $s=28$ .

Explanation of Solution

Given information: The provided proportion is $\frac{s}{21}=\frac{16}{12}$ .

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

  $\begin{array}{l}\frac{s}{21}=\frac{16}{12}\text{ [Write the proportion}\text{.]}\\ s\times 12=21\times 16\text{}\text{}\text{ [Apply cross products property}\text{.]}\\ 12s=336\text{ [Multiply}\text{.]}\\ \frac{12s}{12}=\frac{336}{12}\text{ [Divide each side by 12 to place the variable on one side of the equation}.]\\ s=28\text{ [Simplify}\text{.]}\end{array}$

Hence, the solution of the proportion $\frac{s}{21}=\frac{16}{12}$ is $s=28$ .