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Finding the Fourth Proportional to 8,200.31, 12,302.05 and 2,935.71

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Solution

The fourth proportional to 8,200.31, 12,302.05 and 2,935.71 is: 4,404.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.31 : 12,302.05 = 2,935.71 : x
  2. Step 2: Convert to fraction form
    8,200.31/12,302.05 = 2,935.71/x
  3. Step 3: Cross multiply
    8,200.31x = 12,302.05 × 2,935.71
  4. Step 4: Simplify right side
    8,200.31x = 36,115,251.21
  5. Step 5: Solve for x
    x = 36,115,251.21/8,200.31
  6. Step 6: Final answer
    x = 4,404.14

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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.