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Finding the Fourth Proportional to 3,838.74, 5,753.79 and 1,892.31

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Solution

The fourth proportional to 3,838.74, 5,753.79 and 1,892.31 is: 2,836.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.74 : 5,753.79 = 1,892.31 : x
  2. Step 2: Convert to fraction form
    3,838.74/5,753.79 = 1,892.31/x
  3. Step 3: Cross multiply
    3,838.74x = 5,753.79 × 1,892.31
  4. Step 4: Simplify right side
    3,838.74x = 10,887,954.35
  5. Step 5: Solve for x
    x = 10,887,954.35/3,838.74
  6. Step 6: Final answer
    x = 2,836.34

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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.