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Finding the Fourth Proportional to 8,487.12, 12,731.68 and 2,643.76

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Solution

The fourth proportional to 8,487.12, 12,731.68 and 2,643.76 is: 3,965.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,487.12 : 12,731.68 = 2,643.76 : x
  2. Step 2: Convert to fraction form
    8,487.12/12,731.68 = 2,643.76/x
  3. Step 3: Cross multiply
    8,487.12x = 12,731.68 × 2,643.76
  4. Step 4: Simplify right side
    8,487.12x = 33,659,506.32
  5. Step 5: Solve for x
    x = 33,659,506.32/8,487.12
  6. Step 6: Final answer
    x = 3,965.95

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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.