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Finding the Fourth Proportional to 5,321.20, 7,984.20 and 2,546.80

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Solution

The fourth proportional to 5,321.20, 7,984.20 and 2,546.80 is: 3,821.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.20 : 7,984.20 = 2,546.80 : x
  2. Step 2: Convert to fraction form
    5,321.20/7,984.20 = 2,546.80/x
  3. Step 3: Cross multiply
    5,321.20x = 7,984.20 × 2,546.80
  4. Step 4: Simplify right side
    5,321.20x = 20,334,160.56
  5. Step 5: Solve for x
    x = 20,334,160.56/5,321.20
  6. Step 6: Final answer
    x = 3,821.35

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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.