Home / 2,738.09-4,097.40-1,998.56

Finding the Fourth Proportional to 2,738.09, 4,097.40 and 1,998.56

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Solution

The fourth proportional to 2,738.09, 4,097.40 and 1,998.56 is: 2,990.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.09 : 4,097.40 = 1,998.56 : x
  2. Step 2: Convert to fraction form
    2,738.09/4,097.40 = 1,998.56/x
  3. Step 3: Cross multiply
    2,738.09x = 4,097.40 × 1,998.56
  4. Step 4: Simplify right side
    2,738.09x = 8,188,879.26
  5. Step 5: Solve for x
    x = 8,188,879.26/2,738.09
  6. Step 6: Final answer
    x = 2,990.73

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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.