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Finding the Fourth Proportional to 2,734.97, 4,103.12 and 787.16

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Solution

The fourth proportional to 2,734.97, 4,103.12 and 787.16 is: 1,180.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.97 : 4,103.12 = 787.16 : x
  2. Step 2: Convert to fraction form
    2,734.97/4,103.12 = 787.16/x
  3. Step 3: Cross multiply
    2,734.97x = 4,103.12 × 787.16
  4. Step 4: Simplify right side
    2,734.97x = 3,229,811.94
  5. Step 5: Solve for x
    x = 3,229,811.94/2,734.97
  6. Step 6: Final answer
    x = 1,180.93

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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.