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Finding the Fourth Proportional to 8,129.53, 12,198.85 and 8,067.57

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Solution

The fourth proportional to 8,129.53, 12,198.85 and 8,067.57 is: 12,105.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.53 : 12,198.85 = 8,067.57 : x
  2. Step 2: Convert to fraction form
    8,129.53/12,198.85 = 8,067.57/x
  3. Step 3: Cross multiply
    8,129.53x = 12,198.85 × 8,067.57
  4. Step 4: Simplify right side
    8,129.53x = 98,415,055.76
  5. Step 5: Solve for x
    x = 98,415,055.76/8,129.53
  6. Step 6: Final answer
    x = 12,105.87

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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.