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Finding the Fourth Proportional to 3,839, 5,297.82 and 2,183

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Solution

The fourth proportional to 3,839, 5,297.82 and 2,183 is: 3,012.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839 : 5,297.82 = 2,183 : x
  2. Step 2: Convert to fraction form
    3,839/5,297.82 = 2,183/x
  3. Step 3: Cross multiply
    3,839x = 5,297.82 × 2,183
  4. Step 4: Simplify right side
    3,839x = 11,565,141.06
  5. Step 5: Solve for x
    x = 11,565,141.06/3,839
  6. Step 6: Final answer
    x = 3,012.54

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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.