Finding the Fourth Proportional to 33,158.76, 49,743 and 9,782.16
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Solution
The fourth proportional to 33,158.76, 49,743 and 9,782.16 is: 14,674.67
Step by Step Solution
- Step 1: Write the proportion equation
33,158.76 : 49,743 = 9,782.16 : x - Step 2: Convert to fraction form
33,158.76/49,743 = 9,782.16/x - Step 3: Cross multiply
33,158.76x = 49,743 × 9,782.16 - Step 4: Simplify right side
33,158.76x = 486,593,984.88 - Step 5: Solve for x
x = 486,593,984.88/33,158.76 - Step 6: Final answer
x = 14,674.67
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.