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Finding the Fourth Proportional to 8,134.92, 12,209.40 and 3,978

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Solution

The fourth proportional to 8,134.92, 12,209.40 and 3,978 is: 5,970.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.92 : 12,209.40 = 3,978 : x
  2. Step 2: Convert to fraction form
    8,134.92/12,209.40 = 3,978/x
  3. Step 3: Cross multiply
    8,134.92x = 12,209.40 × 3,978
  4. Step 4: Simplify right side
    8,134.92x = 48,568,993.20
  5. Step 5: Solve for x
    x = 48,568,993.20/8,134.92
  6. Step 6: Final answer
    x = 5,970.43

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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.