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Finding the Fourth Proportional to 3,894.27, 5,828.90 and 2,042.79

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Solution

The fourth proportional to 3,894.27, 5,828.90 and 2,042.79 is: 3,057.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.27 : 5,828.90 = 2,042.79 : x
  2. Step 2: Convert to fraction form
    3,894.27/5,828.90 = 2,042.79/x
  3. Step 3: Cross multiply
    3,894.27x = 5,828.90 × 2,042.79
  4. Step 4: Simplify right side
    3,894.27x = 11,907,208.42
  5. Step 5: Solve for x
    x = 11,907,208.42/3,894.27
  6. Step 6: Final answer
    x = 3,057.62

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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.