Question

Find the missing number in the ratio table below.

8 16 24 32
13 26 39 ?
A.
51
B.
49
C.
47
D.
52

Answer 1

To find the missing number in the ratio table, we first look at the pattern in the columns.

In the first row, we have the numbers:
8, 16, 24, 32.

In the second row, we have the corresponding numbers:
13, 26, 39, ?.

We can observe that there is a consistent relationship between the numbers in the first row and the second row.

The relationship appears to be that each number in the second row is obtained by multiplying the number in the first row by a certain factor:

- For 8 in the first row:
\[
8 \times \frac{13}{8} = 13
\]

- For 16 in the first row:
\[
16 \times \frac{13}{8} = 26
\]

- For 24 in the first row:
\[
24 \times \frac{13}{8} = 39
\]

Now let's calculate the missing number for 32 in the first row:
To find the corresponding value for 32 in the second row, we will use the same factor (which is \(\frac{13}{8}\)):

Let \( x \) be the missing number:
\[
32 \times \frac{13}{8} = x
\]

Now calculating this value:
\[
x = 32 \times 1.625 = 52
\]

Thus, the missing number is **52**.

The correct answer is:
**D. 52**.