Question

Solve each proportion. If necessary, round to the nearest hundredth.

$\frac{9}{12}=\frac{g}{16}$

Short answer

The solution of the proportion is $g=12$.

Step-by-step solution

Step 1. Given information.

We have a proportion is$\frac{9}{12}=\frac{g}{16}$.

To find the solution of the given proportion and then round it to the nearest hundredth.

Step 2. Apply concept.

We apply the cross-product concept and solve the given proportion.

As$\frac{x}{y}=\frac{4}{5}\Rightarrow 5x=4y$

Step 3. Calculation.

Solving the given proportion using the above rule.

$\begin{array}{l}\frac{9}{12}=\frac{g}{16}\\ \Rightarrow 12g=9\times 16\\ \Rightarrow g=\frac{9\times 16}{12}\\ \Rightarrow g=3\left(4\right)\\ \Rightarrow g=12\end{array}$

Therefore, the solution of the proportion is $g=12$.