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Finding the Fourth Proportional to 3,906.21, 5,844.48 and 2,399.87

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Solution

The fourth proportional to 3,906.21, 5,844.48 and 2,399.87 is: 3,590.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.21 : 5,844.48 = 2,399.87 : x
  2. Step 2: Convert to fraction form
    3,906.21/5,844.48 = 2,399.87/x
  3. Step 3: Cross multiply
    3,906.21x = 5,844.48 × 2,399.87
  4. Step 4: Simplify right side
    3,906.21x = 14,025,992.22
  5. Step 5: Solve for x
    x = 14,025,992.22/3,906.21
  6. Step 6: Final answer
    x = 3,590.69

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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.