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Finding the Fourth Proportional to 8,447.67, 12,672.84 and 3,769.32

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Solution

The fourth proportional to 8,447.67, 12,672.84 and 3,769.32 is: 5,654.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.67 : 12,672.84 = 3,769.32 : x
  2. Step 2: Convert to fraction form
    8,447.67/12,672.84 = 3,769.32/x
  3. Step 3: Cross multiply
    8,447.67x = 12,672.84 × 3,769.32
  4. Step 4: Simplify right side
    8,447.67x = 47,767,989.27
  5. Step 5: Solve for x
    x = 47,767,989.27/8,447.67
  6. Step 6: Final answer
    x = 5,654.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.