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Finding the Fourth Proportional to 8,198.38, 12,301.20 and 4,301.86

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Solution

The fourth proportional to 8,198.38, 12,301.20 and 4,301.86 is: 6,454.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.38 : 12,301.20 = 4,301.86 : x
  2. Step 2: Convert to fraction form
    8,198.38/12,301.20 = 4,301.86/x
  3. Step 3: Cross multiply
    8,198.38x = 12,301.20 × 4,301.86
  4. Step 4: Simplify right side
    8,198.38x = 52,918,040.23
  5. Step 5: Solve for x
    x = 52,918,040.23/8,198.38
  6. Step 6: Final answer
    x = 6,454.69

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1.5x scale

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.