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Finding the Fourth Proportional to 11,871.14, 16,380.78 and 6,565.64

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Solution

The fourth proportional to 11,871.14, 16,380.78 and 6,565.64 is: 9,059.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.14 : 16,380.78 = 6,565.64 : x
  2. Step 2: Convert to fraction form
    11,871.14/16,380.78 = 6,565.64/x
  3. Step 3: Cross multiply
    11,871.14x = 16,380.78 × 6,565.64
  4. Step 4: Simplify right side
    11,871.14x = 107,550,304.40
  5. Step 5: Solve for x
    x = 107,550,304.40/11,871.14
  6. Step 6: Final answer
    x = 9,059.81

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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.