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Finding the Fourth Proportional to 3,788.77, 5,679.20 and 2,227.49

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Solution

The fourth proportional to 3,788.77, 5,679.20 and 2,227.49 is: 3,338.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.77 : 5,679.20 = 2,227.49 : x
  2. Step 2: Convert to fraction form
    3,788.77/5,679.20 = 2,227.49/x
  3. Step 3: Cross multiply
    3,788.77x = 5,679.20 × 2,227.49
  4. Step 4: Simplify right side
    3,788.77x = 12,650,361.21
  5. Step 5: Solve for x
    x = 12,650,361.21/3,788.77
  6. Step 6: Final answer
    x = 3,338.91

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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.