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Finding the Fourth Proportional to 3,839.53, 5,754.78 and 2,197.21

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Solution

The fourth proportional to 3,839.53, 5,754.78 and 2,197.21 is: 3,293.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.53 : 5,754.78 = 2,197.21 : x
  2. Step 2: Convert to fraction form
    3,839.53/5,754.78 = 2,197.21/x
  3. Step 3: Cross multiply
    3,839.53x = 5,754.78 × 2,197.21
  4. Step 4: Simplify right side
    3,839.53x = 12,644,460.16
  5. Step 5: Solve for x
    x = 12,644,460.16/3,839.53
  6. Step 6: Final answer
    x = 3,293.23

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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.