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Finding the Fourth Proportional to 12,726.92, 17,565 and 7,691.88

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Solution

The fourth proportional to 12,726.92, 17,565 and 7,691.88 is: 10,615.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,726.92 : 17,565 = 7,691.88 : x
  2. Step 2: Convert to fraction form
    12,726.92/17,565 = 7,691.88/x
  3. Step 3: Cross multiply
    12,726.92x = 17,565 × 7,691.88
  4. Step 4: Simplify right side
    12,726.92x = 135,107,872.20
  5. Step 5: Solve for x
    x = 135,107,872.20/12,726.92
  6. Step 6: Final answer
    x = 10,615.91

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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.