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Finding the Fourth Proportional to 12,881.86, 19,291.10 and 6,286.78

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Solution

The fourth proportional to 12,881.86, 19,291.10 and 6,286.78 is: 9,414.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,881.86 : 19,291.10 = 6,286.78 : x
  2. Step 2: Convert to fraction form
    12,881.86/19,291.10 = 6,286.78/x
  3. Step 3: Cross multiply
    12,881.86x = 19,291.10 × 6,286.78
  4. Step 4: Simplify right side
    12,881.86x = 121,278,901.66
  5. Step 5: Solve for x
    x = 121,278,901.66/12,881.86
  6. Step 6: Final answer
    x = 9,414.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.