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Finding the Fourth Proportional to 3,876.75, 5,812.14 and 1,927.44

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Solution

The fourth proportional to 3,876.75, 5,812.14 and 1,927.44 is: 2,889.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.75 : 5,812.14 = 1,927.44 : x
  2. Step 2: Convert to fraction form
    3,876.75/5,812.14 = 1,927.44/x
  3. Step 3: Cross multiply
    3,876.75x = 5,812.14 × 1,927.44
  4. Step 4: Simplify right side
    3,876.75x = 11,202,551.12
  5. Step 5: Solve for x
    x = 11,202,551.12/3,876.75
  6. Step 6: Final answer
    x = 2,889.68

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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.