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Finding the Fourth Proportional to 21,711.80, 29,957.10 and 12,279.80

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Solution

The fourth proportional to 21,711.80, 29,957.10 and 12,279.80 is: 16,943.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,711.80 : 29,957.10 = 12,279.80 : x
  2. Step 2: Convert to fraction form
    21,711.80/29,957.10 = 12,279.80/x
  3. Step 3: Cross multiply
    21,711.80x = 29,957.10 × 12,279.80
  4. Step 4: Simplify right side
    21,711.80x = 367,867,196.58
  5. Step 5: Solve for x
    x = 367,867,196.58/21,711.80
  6. Step 6: Final answer
    x = 16,943.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.