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Finding the Fourth Proportional to 8,425.17, 12,639.56 and 3,231

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Solution

The fourth proportional to 8,425.17, 12,639.56 and 3,231 is: 4,847.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,425.17 : 12,639.56 = 3,231 : x
  2. Step 2: Convert to fraction form
    8,425.17/12,639.56 = 3,231/x
  3. Step 3: Cross multiply
    8,425.17x = 12,639.56 × 3,231
  4. Step 4: Simplify right side
    8,425.17x = 40,838,402.21
  5. Step 5: Solve for x
    x = 40,838,402.21/8,425.17
  6. Step 6: Final answer
    x = 4,847.19

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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.