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Finding the Fourth Proportional to 2,734.92, 4,102.38 and 787.14

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Solution

The fourth proportional to 2,734.92, 4,102.38 and 787.14 is: 1,180.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.92 : 4,102.38 = 787.14 : x
  2. Step 2: Convert to fraction form
    2,734.92/4,102.38 = 787.14/x
  3. Step 3: Cross multiply
    2,734.92x = 4,102.38 × 787.14
  4. Step 4: Simplify right side
    2,734.92x = 3,229,147.39
  5. Step 5: Solve for x
    x = 3,229,147.39/2,734.92
  6. Step 6: Final answer
    x = 1,180.71

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1.5x scale

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.