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Finding the Fourth Proportional to 29,141.92, 43,712.80 and 12,491.16

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Solution

The fourth proportional to 29,141.92, 43,712.80 and 12,491.16 is: 18,736.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,141.92 : 43,712.80 = 12,491.16 : x
  2. Step 2: Convert to fraction form
    29,141.92/43,712.80 = 12,491.16/x
  3. Step 3: Cross multiply
    29,141.92x = 43,712.80 × 12,491.16
  4. Step 4: Simplify right side
    29,141.92x = 546,023,578.85
  5. Step 5: Solve for x
    x = 546,023,578.85/29,141.92
  6. Step 6: Final answer
    x = 18,736.71

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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.