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Finding the Fourth Proportional to 3,787.56, 5,227.12 and 2,194.64

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Solution

The fourth proportional to 3,787.56, 5,227.12 and 2,194.64 is: 3,028.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.56 : 5,227.12 = 2,194.64 : x
  2. Step 2: Convert to fraction form
    3,787.56/5,227.12 = 2,194.64/x
  3. Step 3: Cross multiply
    3,787.56x = 5,227.12 × 2,194.64
  4. Step 4: Simplify right side
    3,787.56x = 11,471,659.90
  5. Step 5: Solve for x
    x = 11,471,659.90/3,787.56
  6. Step 6: Final answer
    x = 3,028.77

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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.