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Finding the Fourth Proportional to 8,489.28, 12,734.76 and 2,644.32

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Solution

The fourth proportional to 8,489.28, 12,734.76 and 2,644.32 is: 3,966.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.28 : 12,734.76 = 2,644.32 : x
  2. Step 2: Convert to fraction form
    8,489.28/12,734.76 = 2,644.32/x
  3. Step 3: Cross multiply
    8,489.28x = 12,734.76 × 2,644.32
  4. Step 4: Simplify right side
    8,489.28x = 33,674,780.56
  5. Step 5: Solve for x
    x = 33,674,780.56/8,489.28
  6. Step 6: Final answer
    x = 3,966.74

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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.