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Finding the Fourth Proportional to 12,167.68, 16,791.38 and 6,862.48

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Solution

The fourth proportional to 12,167.68, 16,791.38 and 6,862.48 is: 9,470.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,167.68 : 16,791.38 = 6,862.48 : x
  2. Step 2: Convert to fraction form
    12,167.68/16,791.38 = 6,862.48/x
  3. Step 3: Cross multiply
    12,167.68x = 16,791.38 × 6,862.48
  4. Step 4: Simplify right side
    12,167.68x = 115,230,475.11
  5. Step 5: Solve for x
    x = 115,230,475.11/12,167.68
  6. Step 6: Final answer
    x = 9,470.21

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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.