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Finding the Fourth Proportional to 2,734.81, 4,102.41 and 787.18

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Solution

The fourth proportional to 2,734.81, 4,102.41 and 787.18 is: 1,180.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.81 : 4,102.41 = 787.18 : x
  2. Step 2: Convert to fraction form
    2,734.81/4,102.41 = 787.18/x
  3. Step 3: Cross multiply
    2,734.81x = 4,102.41 × 787.18
  4. Step 4: Simplify right side
    2,734.81x = 3,229,335.10
  5. Step 5: Solve for x
    x = 3,229,335.10/2,734.81
  6. Step 6: Final answer
    x = 1,180.83

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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.