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Finding the Fourth Proportional to 12,305.64, 16,991.46 and 9,908

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Solution

The fourth proportional to 12,305.64, 16,991.46 and 9,908 is: 13,680.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.64 : 16,991.46 = 9,908 : x
  2. Step 2: Convert to fraction form
    12,305.64/16,991.46 = 9,908/x
  3. Step 3: Cross multiply
    12,305.64x = 16,991.46 × 9,908
  4. Step 4: Simplify right side
    12,305.64x = 168,351,385.68
  5. Step 5: Solve for x
    x = 168,351,385.68/12,305.64
  6. Step 6: Final answer
    x = 13,680.83

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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.