Answer: x = 5
Step-by-step explanation: To solve for x in the given proportion, we use the means-extremes property. In the given proportion, x and 18 are called extremes and 6 and 15 are called means. So the product of the extremes is equal to the product of the means.
The product of the extremes, (x)(18),
equals the product of the means, (6)(15).
So we have (x)(18) or 18x equals (6)(15) or 90.
So we have 18x = 90.
Dividing both sides by 18, x = 5.
It's a good idea to check the answer in these types of problems. So if we plug a 5 back in for x in the original proportion, we have
which is a true statement since
reduces to
.