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Finding the Fourth Proportional to 21,342.88, 31,934.13 and 14,781.88

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Solution

The fourth proportional to 21,342.88, 31,934.13 and 14,781.88 is: 22,117.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,342.88 : 31,934.13 = 14,781.88 : x
  2. Step 2: Convert to fraction form
    21,342.88/31,934.13 = 14,781.88/x
  3. Step 3: Cross multiply
    21,342.88x = 31,934.13 × 14,781.88
  4. Step 4: Simplify right side
    21,342.88x = 472,046,477.56
  5. Step 5: Solve for x
    x = 472,046,477.56/21,342.88
  6. Step 6: Final answer
    x = 22,117.28

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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.