What is the value of n in the proportion below? StartFraction n over 28 EndFraction = StartFraction 4 over 7 EndFraction 1 12 14 16

Respuesta :

The value of n in given proportion is 16

Solution:

We have to find the value of "n" in the proportion

Given proportion is:

[tex]\frac{n}{28} = \frac{4}{7}[/tex]

We can solve the above proportion by cross-multiplying

Multiply the numerator of the left-hand fraction by the denominator of the right-hand fraction

Multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction

Set the two products equal to each other

Solve for the variable

[tex]\rightarrow \frac{n}{28} = \frac{4}{7}\\\\\rightarrow 7 \times n = 4 \times 28\\\\\rightarrow n = \frac{4 \times 28}{7}\\\\\rightarrow n = 4 \times 4 = 16[/tex]

Thus the value of n in given proportion is 16

Answer:

The value of n in given proportion is 16

Step-by-step explanation: