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Finding the Fourth Proportional to 2,758.70, 4,138.05 and 2,531.90

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Solution

The fourth proportional to 2,758.70, 4,138.05 and 2,531.90 is: 3,797.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.70 : 4,138.05 = 2,531.90 : x
  2. Step 2: Convert to fraction form
    2,758.70/4,138.05 = 2,531.90/x
  3. Step 3: Cross multiply
    2,758.70x = 4,138.05 × 2,531.90
  4. Step 4: Simplify right side
    2,758.70x = 10,477,128.80
  5. Step 5: Solve for x
    x = 10,477,128.80/2,758.70
  6. Step 6: Final answer
    x = 3,797.85

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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.