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Finding the Fourth Proportional to 5,947.78, 8,200.48 and 3,819.55

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Solution

The fourth proportional to 5,947.78, 8,200.48 and 3,819.55 is: 5,266.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.78 : 8,200.48 = 3,819.55 : x
  2. Step 2: Convert to fraction form
    5,947.78/8,200.48 = 3,819.55/x
  3. Step 3: Cross multiply
    5,947.78x = 8,200.48 × 3,819.55
  4. Step 4: Simplify right side
    5,947.78x = 31,322,143.38
  5. Step 5: Solve for x
    x = 31,322,143.38/5,947.78
  6. Step 6: Final answer
    x = 5,266.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.