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Finding the Fourth Proportional to 3,821.78, 5,274.24 and 2,249.30

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Solution

The fourth proportional to 3,821.78, 5,274.24 and 2,249.30 is: 3,104.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.78 : 5,274.24 = 2,249.30 : x
  2. Step 2: Convert to fraction form
    3,821.78/5,274.24 = 2,249.30/x
  3. Step 3: Cross multiply
    3,821.78x = 5,274.24 × 2,249.30
  4. Step 4: Simplify right side
    3,821.78x = 11,863,348.03
  5. Step 5: Solve for x
    x = 11,863,348.03/3,821.78
  6. Step 6: Final answer
    x = 3,104.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.