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Finding the Fourth Proportional to 3,882.09, 5,811.91 and 3,481.48

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Solution

The fourth proportional to 3,882.09, 5,811.91 and 3,481.48 is: 5,212.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.09 : 5,811.91 = 3,481.48 : x
  2. Step 2: Convert to fraction form
    3,882.09/5,811.91 = 3,481.48/x
  3. Step 3: Cross multiply
    3,882.09x = 5,811.91 × 3,481.48
  4. Step 4: Simplify right side
    3,882.09x = 20,234,048.43
  5. Step 5: Solve for x
    x = 20,234,048.43/3,882.09
  6. Step 6: Final answer
    x = 5,212.15

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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.