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Finding the Fourth Proportional to 3,906.43, 5,853.15 and 2,749.75

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Solution

The fourth proportional to 3,906.43, 5,853.15 and 2,749.75 is: 4,120.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.43 : 5,853.15 = 2,749.75 : x
  2. Step 2: Convert to fraction form
    3,906.43/5,853.15 = 2,749.75/x
  3. Step 3: Cross multiply
    3,906.43x = 5,853.15 × 2,749.75
  4. Step 4: Simplify right side
    3,906.43x = 16,094,699.21
  5. Step 5: Solve for x
    x = 16,094,699.21/3,906.43
  6. Step 6: Final answer
    x = 4,120.05

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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.