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Finding the Fourth Proportional to 8,727, 13,092.90 and 2,571

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Solution

The fourth proportional to 8,727, 13,092.90 and 2,571 is: 3,857.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,727 : 13,092.90 = 2,571 : x
  2. Step 2: Convert to fraction form
    8,727/13,092.90 = 2,571/x
  3. Step 3: Cross multiply
    8,727x = 13,092.90 × 2,571
  4. Step 4: Simplify right side
    8,727x = 33,661,845.90
  5. Step 5: Solve for x
    x = 33,661,845.90/8,727
  6. Step 6: Final answer
    x = 3,857.21

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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.