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Finding the Fourth Proportional to 5,729.62, 7,906.88 and 3,245.62

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Solution

The fourth proportional to 5,729.62, 7,906.88 and 3,245.62 is: 4,478.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.62 : 7,906.88 = 3,245.62 : x
  2. Step 2: Convert to fraction form
    5,729.62/7,906.88 = 3,245.62/x
  3. Step 3: Cross multiply
    5,729.62x = 7,906.88 × 3,245.62
  4. Step 4: Simplify right side
    5,729.62x = 25,662,727.87
  5. Step 5: Solve for x
    x = 25,662,727.87/5,729.62
  6. Step 6: Final answer
    x = 4,478.96

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1.5x scale

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.