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Finding the Fourth Proportional to 3,769.87, 5,651.85 and 2,380.28

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Solution

The fourth proportional to 3,769.87, 5,651.85 and 2,380.28 is: 3,568.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.87 : 5,651.85 = 2,380.28 : x
  2. Step 2: Convert to fraction form
    3,769.87/5,651.85 = 2,380.28/x
  3. Step 3: Cross multiply
    3,769.87x = 5,651.85 × 2,380.28
  4. Step 4: Simplify right side
    3,769.87x = 13,453,003.78
  5. Step 5: Solve for x
    x = 13,453,003.78/3,769.87
  6. Step 6: Final answer
    x = 3,568.56

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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.