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Finding the Fourth Proportional to 29,192, 40,285.12 and 15,944

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Solution

The fourth proportional to 29,192, 40,285.12 and 15,944 is: 22,002.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,192 : 40,285.12 = 15,944 : x
  2. Step 2: Convert to fraction form
    29,192/40,285.12 = 15,944/x
  3. Step 3: Cross multiply
    29,192x = 40,285.12 × 15,944
  4. Step 4: Simplify right side
    29,192x = 642,305,953.28
  5. Step 5: Solve for x
    x = 642,305,953.28/29,192
  6. Step 6: Final answer
    x = 22,002.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.