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Finding the Fourth Proportional to 3,859.92, 5,782.32 and 1,906.20

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Solution

The fourth proportional to 3,859.92, 5,782.32 and 1,906.20 is: 2,855.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.92 : 5,782.32 = 1,906.20 : x
  2. Step 2: Convert to fraction form
    3,859.92/5,782.32 = 1,906.20/x
  3. Step 3: Cross multiply
    3,859.92x = 5,782.32 × 1,906.20
  4. Step 4: Simplify right side
    3,859.92x = 11,022,258.38
  5. Step 5: Solve for x
    x = 11,022,258.38/3,859.92
  6. Step 6: Final answer
    x = 2,855.57

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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.