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Finding the Fourth Proportional to 22,680.54, 31,291.92 and 13,725.18

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Solution

The fourth proportional to 22,680.54, 31,291.92 and 13,725.18 is: 18,936.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,680.54 : 31,291.92 = 13,725.18 : x
  2. Step 2: Convert to fraction form
    22,680.54/31,291.92 = 13,725.18/x
  3. Step 3: Cross multiply
    22,680.54x = 31,291.92 × 13,725.18
  4. Step 4: Simplify right side
    22,680.54x = 429,487,234.55
  5. Step 5: Solve for x
    x = 429,487,234.55/22,680.54
  6. Step 6: Final answer
    x = 18,936.38

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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.