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Finding the Fourth Proportional to 2,734.78, 4,102.88 and 787.13

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Solution

The fourth proportional to 2,734.78, 4,102.88 and 787.13 is: 1,180.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.78 : 4,102.88 = 787.13 : x
  2. Step 2: Convert to fraction form
    2,734.78/4,102.88 = 787.13/x
  3. Step 3: Cross multiply
    2,734.78x = 4,102.88 × 787.13
  4. Step 4: Simplify right side
    2,734.78x = 3,229,506.26
  5. Step 5: Solve for x
    x = 3,229,506.26/2,734.78
  6. Step 6: Final answer
    x = 1,180.90

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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.