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Finding the Fourth Proportional to 3,447.43, 5,171.16 and 850.39

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Solution

The fourth proportional to 3,447.43, 5,171.16 and 850.39 is: 1,275.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.43 : 5,171.16 = 850.39 : x
  2. Step 2: Convert to fraction form
    3,447.43/5,171.16 = 850.39/x
  3. Step 3: Cross multiply
    3,447.43x = 5,171.16 × 850.39
  4. Step 4: Simplify right side
    3,447.43x = 4,397,502.75
  5. Step 5: Solve for x
    x = 4,397,502.75/3,447.43
  6. Step 6: Final answer
    x = 1,275.59

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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.