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Finding the Fourth Proportional to 5,138.80, 7,720.92 and 3,290.74

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Solution

The fourth proportional to 5,138.80, 7,720.92 and 3,290.74 is: 4,944.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.80 : 7,720.92 = 3,290.74 : x
  2. Step 2: Convert to fraction form
    5,138.80/7,720.92 = 3,290.74/x
  3. Step 3: Cross multiply
    5,138.80x = 7,720.92 × 3,290.74
  4. Step 4: Simplify right side
    5,138.80x = 25,407,540.28
  5. Step 5: Solve for x
    x = 25,407,540.28/5,138.80
  6. Step 6: Final answer
    x = 4,944.26

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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.