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Finding the Fourth Proportional to 2,787.88, 3,847.38 and 1,546.12

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Solution

The fourth proportional to 2,787.88, 3,847.38 and 1,546.12 is: 2,133.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787.88 : 3,847.38 = 1,546.12 : x
  2. Step 2: Convert to fraction form
    2,787.88/3,847.38 = 1,546.12/x
  3. Step 3: Cross multiply
    2,787.88x = 3,847.38 × 1,546.12
  4. Step 4: Simplify right side
    2,787.88x = 5,948,511.17
  5. Step 5: Solve for x
    x = 5,948,511.17/2,787.88
  6. Step 6: Final answer
    x = 2,133.70

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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.