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Finding the Fourth Proportional to 8,524.20, 12,781.08 and 3,324

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Solution

The fourth proportional to 8,524.20, 12,781.08 and 3,324 is: 4,983.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.20 : 12,781.08 = 3,324 : x
  2. Step 2: Convert to fraction form
    8,524.20/12,781.08 = 3,324/x
  3. Step 3: Cross multiply
    8,524.20x = 12,781.08 × 3,324
  4. Step 4: Simplify right side
    8,524.20x = 42,484,309.92
  5. Step 5: Solve for x
    x = 42,484,309.92/8,524.20
  6. Step 6: Final answer
    x = 4,983.96

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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.