Finding the Fourth Proportional to 31,792.50, 47,688.75 and 11,016
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Solution
The fourth proportional to 31,792.50, 47,688.75 and 11,016 is: 16,524
Step by Step Solution
- Step 1: Write the proportion equation
31,792.50 : 47,688.75 = 11,016 : x - Step 2: Convert to fraction form
31,792.50/47,688.75 = 11,016/x - Step 3: Cross multiply
31,792.50x = 47,688.75 × 11,016 - Step 4: Simplify right side
31,792.50x = 525,339,270 - Step 5: Solve for x
x = 525,339,270/31,792.50 - Step 6: Final answer
x = 16,524
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.