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Finding the Fourth Proportional to 22,462.72, 31,009.92 and 15,392

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Solution

The fourth proportional to 22,462.72, 31,009.92 and 15,392 is: 21,248.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,462.72 : 31,009.92 = 15,392 : x
  2. Step 2: Convert to fraction form
    22,462.72/31,009.92 = 15,392/x
  3. Step 3: Cross multiply
    22,462.72x = 31,009.92 × 15,392
  4. Step 4: Simplify right side
    22,462.72x = 477,304,688.64
  5. Step 5: Solve for x
    x = 477,304,688.64/22,462.72
  6. Step 6: Final answer
    x = 21,248.75

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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.