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Finding the Fourth Proportional to 15,149.60, 22,691.52 and 7,342

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Solution

The fourth proportional to 15,149.60, 22,691.52 and 7,342 is: 10,997.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,149.60 : 22,691.52 = 7,342 : x
  2. Step 2: Convert to fraction form
    15,149.60/22,691.52 = 7,342/x
  3. Step 3: Cross multiply
    15,149.60x = 22,691.52 × 7,342
  4. Step 4: Simplify right side
    15,149.60x = 166,601,139.84
  5. Step 5: Solve for x
    x = 166,601,139.84/15,149.60
  6. Step 6: Final answer
    x = 10,997.07

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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.