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Finding the Fourth Proportional to 22,489.92, 31,032 and 15,796

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Solution

The fourth proportional to 22,489.92, 31,032 and 15,796 is: 21,795.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,489.92 : 31,032 = 15,796 : x
  2. Step 2: Convert to fraction form
    22,489.92/31,032 = 15,796/x
  3. Step 3: Cross multiply
    22,489.92x = 31,032 × 15,796
  4. Step 4: Simplify right side
    22,489.92x = 490,181,472
  5. Step 5: Solve for x
    x = 490,181,472/22,489.92
  6. Step 6: Final answer
    x = 21,795.61

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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.