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Finding the Fourth Proportional to 3,469.38, 5,203.68 and 872.31

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Solution

The fourth proportional to 3,469.38, 5,203.68 and 872.31 is: 1,308.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.38 : 5,203.68 = 872.31 : x
  2. Step 2: Convert to fraction form
    3,469.38/5,203.68 = 872.31/x
  3. Step 3: Cross multiply
    3,469.38x = 5,203.68 × 872.31
  4. Step 4: Simplify right side
    3,469.38x = 4,539,222.10
  5. Step 5: Solve for x
    x = 4,539,222.10/3,469.38
  6. Step 6: Final answer
    x = 1,308.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.