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Finding the Fourth Proportional to 2,361.87, 3,542.32 and 2,244.78

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Solution

The fourth proportional to 2,361.87, 3,542.32 and 2,244.78 is: 3,366.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.87 : 3,542.32 = 2,244.78 : x
  2. Step 2: Convert to fraction form
    2,361.87/3,542.32 = 2,244.78/x
  3. Step 3: Cross multiply
    2,361.87x = 3,542.32 × 2,244.78
  4. Step 4: Simplify right side
    2,361.87x = 7,951,729.09
  5. Step 5: Solve for x
    x = 7,951,729.09/2,361.87
  6. Step 6: Final answer
    x = 3,366.71

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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.