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Finding the Fourth Proportional to 3,894.22, 5,372.31 and 2,829.43

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Solution

The fourth proportional to 3,894.22, 5,372.31 and 2,829.43 is: 3,903.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.22 : 5,372.31 = 2,829.43 : x
  2. Step 2: Convert to fraction form
    3,894.22/5,372.31 = 2,829.43/x
  3. Step 3: Cross multiply
    3,894.22x = 5,372.31 × 2,829.43
  4. Step 4: Simplify right side
    3,894.22x = 15,200,575.08
  5. Step 5: Solve for x
    x = 15,200,575.08/3,894.22
  6. Step 6: Final answer
    x = 3,903.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.