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Finding the Fourth Proportional to 2,799.09, 4,198.61 and 851.31

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Solution

The fourth proportional to 2,799.09, 4,198.61 and 851.31 is: 1,276.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,799.09 : 4,198.61 = 851.31 : x
  2. Step 2: Convert to fraction form
    2,799.09/4,198.61 = 851.31/x
  3. Step 3: Cross multiply
    2,799.09x = 4,198.61 × 851.31
  4. Step 4: Simplify right side
    2,799.09x = 3,574,320.81
  5. Step 5: Solve for x
    x = 3,574,320.81/2,799.09
  6. Step 6: Final answer
    x = 1,276.96

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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.