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Finding the Fourth Proportional to 29,129.20, 43,701.90 and 12,497.20

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Solution

The fourth proportional to 29,129.20, 43,701.90 and 12,497.20 is: 18,749.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,129.20 : 43,701.90 = 12,497.20 : x
  2. Step 2: Convert to fraction form
    29,129.20/43,701.90 = 12,497.20/x
  3. Step 3: Cross multiply
    29,129.20x = 43,701.90 × 12,497.20
  4. Step 4: Simplify right side
    29,129.20x = 546,151,384.68
  5. Step 5: Solve for x
    x = 546,151,384.68/29,129.20
  6. Step 6: Final answer
    x = 18,749.28

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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.