Question

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

$\frac{9}{k+3}=\frac{3}{5}$

Short answer

The value of $k$is 12.

Step-by-step solution

Step 1. Given information.

We have an equation$\frac{9}{k+3}=\frac{3}{5}$.

To find the value of the $k$.

Step 2. Apply concept.

We solve the given equation using the cross-product concept.

As $\frac{x}{y}=\frac{3}{4}\Rightarrow 4x=3y$

Step 3. Calculation.

Solving the given equation:

$\begin{array}{l}\frac{9}{k+3}=\frac{3}{5}\\ \Rightarrow 3(k+3)=9\times 5\\ \Rightarrow 3k+9=45\\ \Rightarrow 3k=45-9\\ \Rightarrow 3k=36\\ \Rightarrow k=12\end{array}$

Hence, the value of $k$is 12.