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Finding the Fourth Proportional to 5,791.25, 8,688.50 and 2,279.09

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Solution

The fourth proportional to 5,791.25, 8,688.50 and 2,279.09 is: 3,419.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.25 : 8,688.50 = 2,279.09 : x
  2. Step 2: Convert to fraction form
    5,791.25/8,688.50 = 2,279.09/x
  3. Step 3: Cross multiply
    5,791.25x = 8,688.50 × 2,279.09
  4. Step 4: Simplify right side
    5,791.25x = 19,801,892.34
  5. Step 5: Solve for x
    x = 19,801,892.34/5,791.25
  6. Step 6: Final answer
    x = 3,419.28

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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.