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Finding the Fourth Proportional to 3,906.54, 5,861.42 and 2,057.20

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Solution

The fourth proportional to 3,906.54, 5,861.42 and 2,057.20 is: 3,086.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.54 : 5,861.42 = 2,057.20 : x
  2. Step 2: Convert to fraction form
    3,906.54/5,861.42 = 2,057.20/x
  3. Step 3: Cross multiply
    3,906.54x = 5,861.42 × 2,057.20
  4. Step 4: Simplify right side
    3,906.54x = 12,058,113.22
  5. Step 5: Solve for x
    x = 12,058,113.22/3,906.54
  6. Step 6: Final answer
    x = 3,086.65

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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.