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Finding the Fourth Proportional to 3,906.87, 5,856.20 and 1,440.11

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Solution

The fourth proportional to 3,906.87, 5,856.20 and 1,440.11 is: 2,158.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.87 : 5,856.20 = 1,440.11 : x
  2. Step 2: Convert to fraction form
    3,906.87/5,856.20 = 1,440.11/x
  3. Step 3: Cross multiply
    3,906.87x = 5,856.20 × 1,440.11
  4. Step 4: Simplify right side
    3,906.87x = 8,433,585.02
  5. Step 5: Solve for x
    x = 8,433,585.02/3,906.87
  6. Step 6: Final answer
    x = 2,158.66

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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.