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Finding the Fourth Proportional to 12,781.43, 17,637.96 and 7,116

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Solution

The fourth proportional to 12,781.43, 17,637.96 and 7,116 is: 9,819.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.43 : 17,637.96 = 7,116 : x
  2. Step 2: Convert to fraction form
    12,781.43/17,637.96 = 7,116/x
  3. Step 3: Cross multiply
    12,781.43x = 17,637.96 × 7,116
  4. Step 4: Simplify right side
    12,781.43x = 125,511,723.36
  5. Step 5: Solve for x
    x = 125,511,723.36/12,781.43
  6. Step 6: Final answer
    x = 9,819.85

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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.