To find the fourth number, we first need to establish some basic facts based on the information given.
The average of the four numbers is 8. The formula for the average is:
Average = (Sum of all numbers) / (Total numbers)
Since the average is 8 and there are 4 numbers, we can calculate the total sum of all four numbers:
Sum of all numbers = Average × Total numbers = 8 × 4 = 32
Now, we know that the sum of three of the numbers is 22. Let’s denote the four numbers as A, B, C, and D. If we can express this mathematically, we have:
A + B + C = 22
To find the fourth number D, we can rearrange our total sum equation:
D = Total sum – (A + B + C) = 32 – 22 = 10
Therefore, the fourth number is 10.