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Finding the Fourth Proportional to 10,721.88, 16,085.88 and 4,149.95

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Solution

The fourth proportional to 10,721.88, 16,085.88 and 4,149.95 is: 6,226.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,721.88 : 16,085.88 = 4,149.95 : x
  2. Step 2: Convert to fraction form
    10,721.88/16,085.88 = 4,149.95/x
  3. Step 3: Cross multiply
    10,721.88x = 16,085.88 × 4,149.95
  4. Step 4: Simplify right side
    10,721.88x = 66,755,517.28
  5. Step 5: Solve for x
    x = 66,755,517.28/10,721.88
  6. Step 6: Final answer
    x = 6,226.10

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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.