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Finding the Fourth Proportional to 3,787.88, 5,227.28 and 2,131.88

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Solution

The fourth proportional to 3,787.88, 5,227.28 and 2,131.88 is: 2,942.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.88 : 5,227.28 = 2,131.88 : x
  2. Step 2: Convert to fraction form
    3,787.88/5,227.28 = 2,131.88/x
  3. Step 3: Cross multiply
    3,787.88x = 5,227.28 × 2,131.88
  4. Step 4: Simplify right side
    3,787.88x = 11,143,933.69
  5. Step 5: Solve for x
    x = 11,143,933.69/3,787.88
  6. Step 6: Final answer
    x = 2,942.00

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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.