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Finding the Fourth Proportional to 3,792.42, 5,691.19 and 1,327.26

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Solution

The fourth proportional to 3,792.42, 5,691.19 and 1,327.26 is: 1,991.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.42 : 5,691.19 = 1,327.26 : x
  2. Step 2: Convert to fraction form
    3,792.42/5,691.19 = 1,327.26/x
  3. Step 3: Cross multiply
    3,792.42x = 5,691.19 × 1,327.26
  4. Step 4: Simplify right side
    3,792.42x = 7,553,685.52
  5. Step 5: Solve for x
    x = 7,553,685.52/3,792.42
  6. Step 6: Final answer
    x = 1,991.79

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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.