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Finding the Fourth Proportional to 3,757.82, 5,185.72 and 2,340.80

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Solution

The fourth proportional to 3,757.82, 5,185.72 and 2,340.80 is: 3,230.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.82 : 5,185.72 = 2,340.80 : x
  2. Step 2: Convert to fraction form
    3,757.82/5,185.72 = 2,340.80/x
  3. Step 3: Cross multiply
    3,757.82x = 5,185.72 × 2,340.80
  4. Step 4: Simplify right side
    3,757.82x = 12,138,733.38
  5. Step 5: Solve for x
    x = 12,138,733.38/3,757.82
  6. Step 6: Final answer
    x = 3,230.26

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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.