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Finding the Fourth Proportional to 3,787.79, 5,227.41 and 2,194.47

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Solution

The fourth proportional to 3,787.79, 5,227.41 and 2,194.47 is: 3,028.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.79 : 5,227.41 = 2,194.47 : x
  2. Step 2: Convert to fraction form
    3,787.79/5,227.41 = 2,194.47/x
  3. Step 3: Cross multiply
    3,787.79x = 5,227.41 × 2,194.47
  4. Step 4: Simplify right side
    3,787.79x = 11,471,394.42
  5. Step 5: Solve for x
    x = 11,471,394.42/3,787.79
  6. Step 6: Final answer
    x = 3,028.52

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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.