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Finding the Fourth Proportional to 3,906.38, 5,859.59 and 1,439.93

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Solution

The fourth proportional to 3,906.38, 5,859.59 and 1,439.93 is: 2,159.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.38 : 5,859.59 = 1,439.93 : x
  2. Step 2: Convert to fraction form
    3,906.38/5,859.59 = 1,439.93/x
  3. Step 3: Cross multiply
    3,906.38x = 5,859.59 × 1,439.93
  4. Step 4: Simplify right side
    3,906.38x = 8,437,406.88
  5. Step 5: Solve for x
    x = 8,437,406.88/3,906.38
  6. Step 6: Final answer
    x = 2,159.90

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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.