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Finding the Fourth Proportional to 12,167.46, 16,791.69 and 6,862.17

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Solution

The fourth proportional to 12,167.46, 16,791.69 and 6,862.17 is: 9,470.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,167.46 : 16,791.69 = 6,862.17 : x
  2. Step 2: Convert to fraction form
    12,167.46/16,791.69 = 6,862.17/x
  3. Step 3: Cross multiply
    12,167.46x = 16,791.69 × 6,862.17
  4. Step 4: Simplify right side
    12,167.46x = 115,227,431.37
  5. Step 5: Solve for x
    x = 115,227,431.37/12,167.46
  6. Step 6: Final answer
    x = 9,470.13

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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.