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Finding the Fourth Proportional to 3,285.06, 4,927.53 and 819.90

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Solution

The fourth proportional to 3,285.06, 4,927.53 and 819.90 is: 1,229.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.06 : 4,927.53 = 819.90 : x
  2. Step 2: Convert to fraction form
    3,285.06/4,927.53 = 819.90/x
  3. Step 3: Cross multiply
    3,285.06x = 4,927.53 × 819.90
  4. Step 4: Simplify right side
    3,285.06x = 4,040,081.85
  5. Step 5: Solve for x
    x = 4,040,081.85/3,285.06
  6. Step 6: Final answer
    x = 1,229.84

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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.