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Finding the Fourth Proportional to 2,250.28, 3,375.42 and 789.85

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Solution

The fourth proportional to 2,250.28, 3,375.42 and 789.85 is: 1,184.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250.28 : 3,375.42 = 789.85 : x
  2. Step 2: Convert to fraction form
    2,250.28/3,375.42 = 789.85/x
  3. Step 3: Cross multiply
    2,250.28x = 3,375.42 × 789.85
  4. Step 4: Simplify right side
    2,250.28x = 2,666,067.05
  5. Step 5: Solve for x
    x = 2,666,067.05/2,250.28
  6. Step 6: Final answer
    x = 1,184.77

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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.