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Finding the Fourth Proportional to 5,203.25, 7,171.74 and 3,943.90

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Solution

The fourth proportional to 5,203.25, 7,171.74 and 3,943.90 is: 5,435.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.25 : 7,171.74 = 3,943.90 : x
  2. Step 2: Convert to fraction form
    5,203.25/7,171.74 = 3,943.90/x
  3. Step 3: Cross multiply
    5,203.25x = 7,171.74 × 3,943.90
  4. Step 4: Simplify right side
    5,203.25x = 28,284,644.44
  5. Step 5: Solve for x
    x = 28,284,644.44/5,203.25
  6. Step 6: Final answer
    x = 5,435.96

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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.