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Finding the Fourth Proportional to 12,755.25, 17,605.71 and 8,278.74

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Solution

The fourth proportional to 12,755.25, 17,605.71 and 8,278.74 is: 11,426.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,755.25 : 17,605.71 = 8,278.74 : x
  2. Step 2: Convert to fraction form
    12,755.25/17,605.71 = 8,278.74/x
  3. Step 3: Cross multiply
    12,755.25x = 17,605.71 × 8,278.74
  4. Step 4: Simplify right side
    12,755.25x = 145,753,007.58
  5. Step 5: Solve for x
    x = 145,753,007.58/12,755.25
  6. Step 6: Final answer
    x = 11,426.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.