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Finding the Fourth Proportional to 3,839.64, 5,759.96 and 1,374.24

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Solution

The fourth proportional to 3,839.64, 5,759.96 and 1,374.24 is: 2,061.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.64 : 5,759.96 = 1,374.24 : x
  2. Step 2: Convert to fraction form
    3,839.64/5,759.96 = 1,374.24/x
  3. Step 3: Cross multiply
    3,839.64x = 5,759.96 × 1,374.24
  4. Step 4: Simplify right side
    3,839.64x = 7,915,567.43
  5. Step 5: Solve for x
    x = 7,915,567.43/3,839.64
  6. Step 6: Final answer
    x = 2,061.54

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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.