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Finding the Fourth Proportional to 2,798.80, 4,198.20 and 851

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Solution

The fourth proportional to 2,798.80, 4,198.20 and 851 is: 1,276.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.80 : 4,198.20 = 851 : x
  2. Step 2: Convert to fraction form
    2,798.80/4,198.20 = 851/x
  3. Step 3: Cross multiply
    2,798.80x = 4,198.20 × 851
  4. Step 4: Simplify right side
    2,798.80x = 3,572,663.95
  5. Step 5: Solve for x
    x = 3,572,663.95/2,798.80
  6. Step 6: Final answer
    x = 1,276.50

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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.