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Finding the Fourth Proportional to 19,687.92, 29,506.95 and 8,591.64

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Solution

The fourth proportional to 19,687.92, 29,506.95 and 8,591.64 is: 12,876.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,687.92 : 29,506.95 = 8,591.64 : x
  2. Step 2: Convert to fraction form
    19,687.92/29,506.95 = 8,591.64/x
  3. Step 3: Cross multiply
    19,687.92x = 29,506.95 × 8,591.64
  4. Step 4: Simplify right side
    19,687.92x = 253,513,091.90
  5. Step 5: Solve for x
    x = 253,513,091.90/19,687.92
  6. Step 6: Final answer
    x = 12,876.58

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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.