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Finding the Fourth Proportional to 3,067.50, 4,601.25 and 759

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Solution

The fourth proportional to 3,067.50, 4,601.25 and 759 is: 1,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.50 : 4,601.25 = 759 : x
  2. Step 2: Convert to fraction form
    3,067.50/4,601.25 = 759/x
  3. Step 3: Cross multiply
    3,067.50x = 4,601.25 × 759
  4. Step 4: Simplify right side
    3,067.50x = 3,492,348.75
  5. Step 5: Solve for x
    x = 3,492,348.75/3,067.50
  6. Step 6: Final answer
    x = 1,138.50

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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.