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Finding the Fourth Proportional to 29,187.68, 43,788 and 8,411.24

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Solution

The fourth proportional to 29,187.68, 43,788 and 8,411.24 is: 12,618.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,187.68 : 43,788 = 8,411.24 : x
  2. Step 2: Convert to fraction form
    29,187.68/43,788 = 8,411.24/x
  3. Step 3: Cross multiply
    29,187.68x = 43,788 × 8,411.24
  4. Step 4: Simplify right side
    29,187.68x = 368,311,377.12
  5. Step 5: Solve for x
    x = 368,311,377.12/29,187.68
  6. Step 6: Final answer
    x = 12,618.73

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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.