Question

96/s=36/21 solve for s in the proportion

Answer 1

Given the following proportion:

$\frac{96}{s}=\frac{36}{21}$

You can follow the steps shown below in order to solve for "s" and find its value:

1. You can apply the Multiplication property of equality by multiplying both sides of the equation by "s":

$\begin{gathered} (s)(\frac{96}{s})=(\frac{36}{21})(s) \\ \\ 96=\frac{36}{21}s \end{gathered}$

2. Apply the Multiplication property of equality again by multiplying both sides of the equation by 21:

$\begin{gathered} (21)(96)=(\frac{36}{21}s)(21) \\ \\ 2016=36s \end{gathered}$

3. Finally, you must apply the Division property of equality by dividing both sides of the equation by 36:

$\begin{gathered} \frac{2016}{36}=\frac{36}{s} \\ \\ s=56 \end{gathered}$

The answer is:

$s=56$