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Finding the Fourth Proportional to 3,906.60, 5,859.96 and 1,440.15

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Solution

The fourth proportional to 3,906.60, 5,859.96 and 1,440.15 is: 2,160.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.60 : 5,859.96 = 1,440.15 : x
  2. Step 2: Convert to fraction form
    3,906.60/5,859.96 = 1,440.15/x
  3. Step 3: Cross multiply
    3,906.60x = 5,859.96 × 1,440.15
  4. Step 4: Simplify right side
    3,906.60x = 8,439,221.39
  5. Step 5: Solve for x
    x = 8,439,221.39/3,906.60
  6. Step 6: Final answer
    x = 2,160.25

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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.