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Finding the Fourth Proportional to 3,842.34, 5,764.32 and 1,894.29

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Solution

The fourth proportional to 3,842.34, 5,764.32 and 1,894.29 is: 2,841.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.34 : 5,764.32 = 1,894.29 : x
  2. Step 2: Convert to fraction form
    3,842.34/5,764.32 = 1,894.29/x
  3. Step 3: Cross multiply
    3,842.34x = 5,764.32 × 1,894.29
  4. Step 4: Simplify right side
    3,842.34x = 10,919,293.73
  5. Step 5: Solve for x
    x = 10,919,293.73/3,842.34
  6. Step 6: Final answer
    x = 2,841.83

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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.