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Finding the Fourth Proportional to 8,372.25, 11,553.75 and 5,230.26

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Solution

The fourth proportional to 8,372.25, 11,553.75 and 5,230.26 is: 7,217.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,372.25 : 11,553.75 = 5,230.26 : x
  2. Step 2: Convert to fraction form
    8,372.25/11,553.75 = 5,230.26/x
  3. Step 3: Cross multiply
    8,372.25x = 11,553.75 × 5,230.26
  4. Step 4: Simplify right side
    8,372.25x = 60,429,116.48
  5. Step 5: Solve for x
    x = 60,429,116.48/8,372.25
  6. Step 6: Final answer
    x = 7,217.79

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