I need help. Solve the proportion:
4:x :: -3/8:12
4:x :: -3/8:12
Cross multiply.
(-3/8)x = 48
x = 48 / (-3/8)
x = 48 * (-8/3)
x = (-384/3) = -128
Thank you.
You're welcome.
To solve the proportion 4:x :: -3/8:12, we can use the property of proportions which states that the product of the means (the middle terms) is equal to the product of the extremes (the outer terms).
In this case, we have:
4/x = -3/8/12
First, let's simplify the right side. To do this, we can multiply -3/8 by the reciprocal of 12, which is 1/12:
-3/8 * 1/12 = -3/96
Now, we have:
4/x = -3/96
We can further simplify this by cross multiplying. Multiplying the numerator of the first fraction by the denominator of the second fraction, and vice versa:
4 * 96 = -3 * x
384 = -3x
To isolate x, divide both sides of the equation by -3:
384 / -3 = x
x = -128
Therefore, the value of x that satisfies the proportion 4:x :: -3/8:12 is -128.