Answer:
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Explanation:
If four numbers are in proportion, it means that the ratio of any two of them is equal to the ratio of any other two of them.
We can set up the proportionality as follows:
(x + 1) : (x - 2) = (x + 4) : (x - 1)
To solve for x, we can cross-multiply and simplify:
(x + 1)(x - 1) = (x - 2)(x + 4)
Expanding both sides, we get:
x^2 - 1 = x^2 - 2x - 8
Combining like terms, we get:
-2x = -9
Dividing both sides by -2, we get:
x = 4.5
Therefore, the value of x that makes x + 1, x - 2, x + 4, and x - 1 proportionate is x = 4.5.