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Finding the Fourth Proportional to 3,191.70, 4,781.17 and 2,494.90

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Solution

The fourth proportional to 3,191.70, 4,781.17 and 2,494.90 is: 3,737.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.70 : 4,781.17 = 2,494.90 : x
  2. Step 2: Convert to fraction form
    3,191.70/4,781.17 = 2,494.90/x
  3. Step 3: Cross multiply
    3,191.70x = 4,781.17 × 2,494.90
  4. Step 4: Simplify right side
    3,191.70x = 11,928,541.03
  5. Step 5: Solve for x
    x = 11,928,541.03/3,191.70
  6. Step 6: Final answer
    x = 3,737.36

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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.