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Finding the Fourth Proportional to 7,757.82, 11,641.50 and 3,375.63

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Solution

The fourth proportional to 7,757.82, 11,641.50 and 3,375.63 is: 5,065.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.82 : 11,641.50 = 3,375.63 : x
  2. Step 2: Convert to fraction form
    7,757.82/11,641.50 = 3,375.63/x
  3. Step 3: Cross multiply
    7,757.82x = 11,641.50 × 3,375.63
  4. Step 4: Simplify right side
    7,757.82x = 39,297,396.65
  5. Step 5: Solve for x
    x = 39,297,396.65/7,757.82
  6. Step 6: Final answer
    x = 5,065.52

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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.