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Finding the Fourth Proportional to 12,169.31, 16,793.42 and 6,864.12

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Solution

The fourth proportional to 12,169.31, 16,793.42 and 6,864.12 is: 9,472.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,169.31 : 16,793.42 = 6,864.12 : x
  2. Step 2: Convert to fraction form
    12,169.31/16,793.42 = 6,864.12/x
  3. Step 3: Cross multiply
    12,169.31x = 16,793.42 × 6,864.12
  4. Step 4: Simplify right side
    12,169.31x = 115,272,015.77
  5. Step 5: Solve for x
    x = 115,272,015.77/12,169.31
  6. Step 6: Final answer
    x = 9,472.36

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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.