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Finding the Fourth Proportional to 3,131.82, 4,703.82 and 2,439.90

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Solution

The fourth proportional to 3,131.82, 4,703.82 and 2,439.90 is: 3,664.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.82 : 4,703.82 = 2,439.90 : x
  2. Step 2: Convert to fraction form
    3,131.82/4,703.82 = 2,439.90/x
  3. Step 3: Cross multiply
    3,131.82x = 4,703.82 × 2,439.90
  4. Step 4: Simplify right side
    3,131.82x = 11,476,850.42
  5. Step 5: Solve for x
    x = 11,476,850.42/3,131.82
  6. Step 6: Final answer
    x = 3,664.59

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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.