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Finding the Fourth Proportional to 3,859.60, 5,321.30 and 2,531

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Solution

The fourth proportional to 3,859.60, 5,321.30 and 2,531 is: 3,489.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.60 : 5,321.30 = 2,531 : x
  2. Step 2: Convert to fraction form
    3,859.60/5,321.30 = 2,531/x
  3. Step 3: Cross multiply
    3,859.60x = 5,321.30 × 2,531
  4. Step 4: Simplify right side
    3,859.60x = 13,468,210.30
  5. Step 5: Solve for x
    x = 13,468,210.30/3,859.60
  6. Step 6: Final answer
    x = 3,489.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.