Fill in the blanks in the given figure such that the corresponding numbers in the two rows are proportional.
In order for the numbers in the two rows to be proportional, each pair of values must be in the same ratio. We can use the pair of values that have both been given to us in order to work out what this ratio is.
The ratio of the bottom row divided by the top is 60 divided by six. This is equal to 10. This means that numbers in the bottom row of the table are 10 times as large as the corresponding number in the top row. Equivalently, numbers in the top row are 10 times smaller than their pair in the bottom row.
We can fill in the two numbers in the circles. To work out a number in the bottom row from its pair in the top, we need to multiply by 10. To work out a number in the top row from its pair in the bottom, we need to divide by 10.
Next, let’s calculate the missing number in the bottom row. In order to calculate this, we need to multiply its pair in the top row by 10. This number is equal to 11 multiplied by 10, which is 110.
Finally, we calculate the last missing number, the missing number in the top row. To calculate it, we divide its corresponding number in the bottom row by 10. It’s equal to 190 divided by 10, which is 19. The four missing numbers in the figure from left to right are 10, 110, 19, 10.