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Finding the Fourth Proportional to 27,642.72, 38,170.80 and 23,702.88

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Solution

The fourth proportional to 27,642.72, 38,170.80 and 23,702.88 is: 32,730.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,642.72 : 38,170.80 = 23,702.88 : x
  2. Step 2: Convert to fraction form
    27,642.72/38,170.80 = 23,702.88/x
  3. Step 3: Cross multiply
    27,642.72x = 38,170.80 × 23,702.88
  4. Step 4: Simplify right side
    27,642.72x = 904,757,891.90
  5. Step 5: Solve for x
    x = 904,757,891.90/27,642.72
  6. Step 6: Final answer
    x = 32,730.42

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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.