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Finding the Fourth Proportional to 3,800, 5,244 and 2,144

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Solution

The fourth proportional to 3,800, 5,244 and 2,144 is: 2,958.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800 : 5,244 = 2,144 : x
  2. Step 2: Convert to fraction form
    3,800/5,244 = 2,144/x
  3. Step 3: Cross multiply
    3,800x = 5,244 × 2,144
  4. Step 4: Simplify right side
    3,800x = 11,243,136
  5. Step 5: Solve for x
    x = 11,243,136/3,800
  6. Step 6: Final answer
    x = 2,958.72

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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.