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Finding the Fourth Proportional to 3,067.28, 4,600.92 and 758.78

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Solution

The fourth proportional to 3,067.28, 4,600.92 and 758.78 is: 1,138.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.28 : 4,600.92 = 758.78 : x
  2. Step 2: Convert to fraction form
    3,067.28/4,600.92 = 758.78/x
  3. Step 3: Cross multiply
    3,067.28x = 4,600.92 × 758.78
  4. Step 4: Simplify right side
    3,067.28x = 3,491,086.08
  5. Step 5: Solve for x
    x = 3,491,086.08/3,067.28
  6. Step 6: Final answer
    x = 1,138.17

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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.