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Finding the Fourth Proportional to 3,886.92, 5,830.36 and 3,351.78

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Solution

The fourth proportional to 3,886.92, 5,830.36 and 3,351.78 is: 5,027.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.92 : 5,830.36 = 3,351.78 : x
  2. Step 2: Convert to fraction form
    3,886.92/5,830.36 = 3,351.78/x
  3. Step 3: Cross multiply
    3,886.92x = 5,830.36 × 3,351.78
  4. Step 4: Simplify right side
    3,886.92x = 19,542,084.04
  5. Step 5: Solve for x
    x = 19,542,084.04/3,886.92
  6. Step 6: Final answer
    x = 5,027.65

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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.