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Finding the Fourth Proportional to 2,734.94, 4,102.40 and 787.14

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Solution

The fourth proportional to 2,734.94, 4,102.40 and 787.14 is: 1,180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.94 : 4,102.40 = 787.14 : x
  2. Step 2: Convert to fraction form
    2,734.94/4,102.40 = 787.14/x
  3. Step 3: Cross multiply
    2,734.94x = 4,102.40 × 787.14
  4. Step 4: Simplify right side
    2,734.94x = 3,229,142.62
  5. Step 5: Solve for x
    x = 3,229,142.62/2,734.94
  6. Step 6: Final answer
    x = 1,180.70

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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.