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Finding the Fourth Proportional to 3,821.76, 5,272.02 and 2,249.28

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Solution

The fourth proportional to 3,821.76, 5,272.02 and 2,249.28 is: 3,102.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.76 : 5,272.02 = 2,249.28 : x
  2. Step 2: Convert to fraction form
    3,821.76/5,272.02 = 2,249.28/x
  3. Step 3: Cross multiply
    3,821.76x = 5,272.02 × 2,249.28
  4. Step 4: Simplify right side
    3,821.76x = 11,858,249.15
  5. Step 5: Solve for x
    x = 11,858,249.15/3,821.76
  6. Step 6: Final answer
    x = 3,102.82

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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.