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Finding the Fourth Proportional to 2,531.26, 3,797.46 and 799.78

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Solution

The fourth proportional to 2,531.26, 3,797.46 and 799.78 is: 1,199.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.26 : 3,797.46 = 799.78 : x
  2. Step 2: Convert to fraction form
    2,531.26/3,797.46 = 799.78/x
  3. Step 3: Cross multiply
    2,531.26x = 3,797.46 × 799.78
  4. Step 4: Simplify right side
    2,531.26x = 3,037,132.56
  5. Step 5: Solve for x
    x = 3,037,132.56/2,531.26
  6. Step 6: Final answer
    x = 1,199.85

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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.