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Finding the Fourth Proportional to 21,377, 29,503.50 and 12,991.88

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Solution

The fourth proportional to 21,377, 29,503.50 and 12,991.88 is: 17,930.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,377 : 29,503.50 = 12,991.88 : x
  2. Step 2: Convert to fraction form
    21,377/29,503.50 = 12,991.88/x
  3. Step 3: Cross multiply
    21,377x = 29,503.50 × 12,991.88
  4. Step 4: Simplify right side
    21,377x = 383,305,931.58
  5. Step 5: Solve for x
    x = 383,305,931.58/21,377
  6. Step 6: Final answer
    x = 17,930.76

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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.