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Finding the Fourth Proportional to 3,067.76, 4,601.58 and 759.28

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Solution

The fourth proportional to 3,067.76, 4,601.58 and 759.28 is: 1,138.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.76 : 4,601.58 = 759.28 : x
  2. Step 2: Convert to fraction form
    3,067.76/4,601.58 = 759.28/x
  3. Step 3: Cross multiply
    3,067.76x = 4,601.58 × 759.28
  4. Step 4: Simplify right side
    3,067.76x = 3,493,887.66
  5. Step 5: Solve for x
    x = 3,493,887.66/3,067.76
  6. Step 6: Final answer
    x = 1,138.91

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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.