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Finding the Fourth Proportional to 8,306.64, 12,462.12 and 3,924

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Solution

The fourth proportional to 8,306.64, 12,462.12 and 3,924 is: 5,887.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.64 : 12,462.12 = 3,924 : x
  2. Step 2: Convert to fraction form
    8,306.64/12,462.12 = 3,924/x
  3. Step 3: Cross multiply
    8,306.64x = 12,462.12 × 3,924
  4. Step 4: Simplify right side
    8,306.64x = 48,901,358.88
  5. Step 5: Solve for x
    x = 48,901,358.88/8,306.64
  6. Step 6: Final answer
    x = 5,887.02

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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.