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Finding the Fourth Proportional to 5,321.39, 7,982.07 and 3,213.44

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Solution

The fourth proportional to 5,321.39, 7,982.07 and 3,213.44 is: 4,820.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.39 : 7,982.07 = 3,213.44 : x
  2. Step 2: Convert to fraction form
    5,321.39/7,982.07 = 3,213.44/x
  3. Step 3: Cross multiply
    5,321.39x = 7,982.07 × 3,213.44
  4. Step 4: Simplify right side
    5,321.39x = 25,649,903.02
  5. Step 5: Solve for x
    x = 25,649,903.02/5,321.39
  6. Step 6: Final answer
    x = 4,820.15

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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.