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Finding the Fourth Proportional to 15,732, 21,712.32 and 10,141.92

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Solution

The fourth proportional to 15,732, 21,712.32 and 10,141.92 is: 13,997.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732 : 21,712.32 = 10,141.92 : x
  2. Step 2: Convert to fraction form
    15,732/21,712.32 = 10,141.92/x
  3. Step 3: Cross multiply
    15,732x = 21,712.32 × 10,141.92
  4. Step 4: Simplify right side
    15,732x = 220,204,612.45
  5. Step 5: Solve for x
    x = 220,204,612.45/15,732
  6. Step 6: Final answer
    x = 13,997.24

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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.