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Finding the Fourth Proportional to 3,285, 4,927.28 and 819.77

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Solution

The fourth proportional to 3,285, 4,927.28 and 819.77 is: 1,229.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285 : 4,927.28 = 819.77 : x
  2. Step 2: Convert to fraction form
    3,285/4,927.28 = 819.77/x
  3. Step 3: Cross multiply
    3,285x = 4,927.28 × 819.77
  4. Step 4: Simplify right side
    3,285x = 4,039,207.59
  5. Step 5: Solve for x
    x = 4,039,207.59/3,285
  6. Step 6: Final answer
    x = 1,229.59

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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.