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Finding the Fourth Proportional to 6,202.78, 9,305.08 and 1,819.66

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Solution

The fourth proportional to 6,202.78, 9,305.08 and 1,819.66 is: 2,729.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.78 : 9,305.08 = 1,819.66 : x
  2. Step 2: Convert to fraction form
    6,202.78/9,305.08 = 1,819.66/x
  3. Step 3: Cross multiply
    6,202.78x = 9,305.08 × 1,819.66
  4. Step 4: Simplify right side
    6,202.78x = 16,932,081.87
  5. Step 5: Solve for x
    x = 16,932,081.87/6,202.78
  6. Step 6: Final answer
    x = 2,729.76

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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.