Write the following statement as a proportion.
16 is to 12 as 24 is to 18
A) $\frac { 24 } { 16 } = \frac { 12 } { 18 }$
B) $\frac { 16 } { 12 } = \frac { 18 } { 24 }$
C) $\frac { 16 } { 12 } = \frac { 24 } { 18 }$
D) $\frac { 16 } { 24 } = \frac { 18 } { 12 }$
E) $\frac { 16 } { 18 } = \frac { 12 } { 24 }$

Question

Write the following statement as a proportion.
16 is to 12 as 24 is to 18
A) $\frac { 24 } { 16 } = \frac { 12 } { 18 }$
B) $\frac { 16 } { 12 } = \frac { 18 } { 24 }$
C) $\frac { 16 } { 12 } = \frac { 24 } { 18 }$
D) $\frac { 16 } { 24 } = \frac { 18 } { 12 }$
E) $\frac { 16 } { 18 } = \frac { 12 } { 24 }$

Quizplus · Accepted Answer

The first term 16 is related to the second term 12, and the third term 24 is related to the fourth term 18. So we need to compare the ratios of the corresponding terms. In other words, we need to see if 16/12 is equal to 24/18. Simplifying both sides we get: 
16/12 = 4/3 and 24/18 = 4/3. 
Therefore, the proportion is:
16/12 = 24/18, which is equivalent to 4/3 = 4/3, and can be simplified further by multiplying both sides by 3/4 to get:
16/18 = 12/24. 
This reduces to: 
8/9 = 1/2. 
Therefore, choice C) $\frac { 16 } { 12 } = \frac { 24 } { 18 }$ is the correct proportion.

Write the Following Statement as a Proportion 2416=1218\frac { 24 } { 16 } = \frac { 12 } { 18 }1624​=1812​

Write the Following Statement as a Proportion $\frac { 24 } { 16 } = \frac { 12 } { 18 }$