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Finding the Fourth Proportional to 11,524.46, 15,905.02 and 6,489.88

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Solution

The fourth proportional to 11,524.46, 15,905.02 and 6,489.88 is: 8,956.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.46 : 15,905.02 = 6,489.88 : x
  2. Step 2: Convert to fraction form
    11,524.46/15,905.02 = 6,489.88/x
  3. Step 3: Cross multiply
    11,524.46x = 15,905.02 × 6,489.88
  4. Step 4: Simplify right side
    11,524.46x = 103,221,671.20
  5. Step 5: Solve for x
    x = 103,221,671.20/11,524.46
  6. Step 6: Final answer
    x = 8,956.75

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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.