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Finding the Fourth Proportional to 3,657.62, 5,481.37 and 3,169.46

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Solution

The fourth proportional to 3,657.62, 5,481.37 and 3,169.46 is: 4,749.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.62 : 5,481.37 = 3,169.46 : x
  2. Step 2: Convert to fraction form
    3,657.62/5,481.37 = 3,169.46/x
  3. Step 3: Cross multiply
    3,657.62x = 5,481.37 × 3,169.46
  4. Step 4: Simplify right side
    3,657.62x = 17,372,982.96
  5. Step 5: Solve for x
    x = 17,372,982.96/3,657.62
  6. Step 6: Final answer
    x = 4,749.81

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1.5x scale

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.