To solve: the proportion 14251062=z177 for the variable z.

Question

Cristiano Sears · Accepted Answer

Approach:
If two ratios are equal then it is a proportion. If

\frac{p}{q}

and

\frac{r}{s}

are two ratios, then

\frac{p}{q} = \frac{r}{s}

is a proportion.
Ex:

\frac{3}{4} = \frac{15}{20}

For finding unknown numbers in proportions, we use cross product to find the unknown number.
Ex:

\frac{2}{7} = \frac{x}{14}

Here in the example x is the unknown number. To calculate the value of x, we use the cross product.
Calculation:
Given

\frac{1425}{1062} = \frac{z}{177}

Apply the cross product in order to find the unknown number.

1425 \times 177 = 1062 \times z

252225 = 1062 z

Divide both the sides by 1062

\frac{252225}{1062} = \frac{1062 z}{1062}

237.5 = z

Final statement: The solution for the proportion

\frac{1425}{1062} = \frac{z}{177}

for the variable is

z = 237.5

Jeffrey Jordon · Accepted Answer

Answer is given below (on video)

To solve: the proportion \frac{1425}{1062}=\frac{z}{177} for the variable z.