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Finding the Fourth Proportional to 29,147.65, 43,712.16 and 12,503.21

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Solution

The fourth proportional to 29,147.65, 43,712.16 and 12,503.21 is: 18,750.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,147.65 : 43,712.16 = 12,503.21 : x
  2. Step 2: Convert to fraction form
    29,147.65/43,712.16 = 12,503.21/x
  3. Step 3: Cross multiply
    29,147.65x = 43,712.16 × 12,503.21
  4. Step 4: Simplify right side
    29,147.65x = 546,542,296.47
  5. Step 5: Solve for x
    x = 546,542,296.47/29,147.65
  6. Step 6: Final answer
    x = 18,750.82

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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.