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Finding the Fourth Proportional to 8,414.21, 12,621.78 and 6,067.76

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Solution

The fourth proportional to 8,414.21, 12,621.78 and 6,067.76 is: 9,101.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.21 : 12,621.78 = 6,067.76 : x
  2. Step 2: Convert to fraction form
    8,414.21/12,621.78 = 6,067.76/x
  3. Step 3: Cross multiply
    8,414.21x = 12,621.78 × 6,067.76
  4. Step 4: Simplify right side
    8,414.21x = 76,585,868.70
  5. Step 5: Solve for x
    x = 76,585,868.70/8,414.21
  6. Step 6: Final answer
    x = 9,101.97

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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.