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Finding the Fourth Proportional to 3,899.43, 5,843.07 and 2,256.75

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Solution

The fourth proportional to 3,899.43, 5,843.07 and 2,256.75 is: 3,381.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.43 : 5,843.07 = 2,256.75 : x
  2. Step 2: Convert to fraction form
    3,899.43/5,843.07 = 2,256.75/x
  3. Step 3: Cross multiply
    3,899.43x = 5,843.07 × 2,256.75
  4. Step 4: Simplify right side
    3,899.43x = 13,186,348.22
  5. Step 5: Solve for x
    x = 13,186,348.22/3,899.43
  6. Step 6: Final answer
    x = 3,381.61

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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.