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Finding the Fourth Proportional to 7,687.82, 11,537.46 and 5,717.96

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Solution

The fourth proportional to 7,687.82, 11,537.46 and 5,717.96 is: 8,581.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.82 : 11,537.46 = 5,717.96 : x
  2. Step 2: Convert to fraction form
    7,687.82/11,537.46 = 5,717.96/x
  3. Step 3: Cross multiply
    7,687.82x = 11,537.46 × 5,717.96
  4. Step 4: Simplify right side
    7,687.82x = 65,970,734.78
  5. Step 5: Solve for x
    x = 65,970,734.78/7,687.82
  6. Step 6: Final answer
    x = 8,581.20

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Why These Related Problems?

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