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Finding the Fourth Proportional to 11,198, 16,797 and 2,990

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Solution

The fourth proportional to 11,198, 16,797 and 2,990 is: 4,485

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,198 : 16,797 = 2,990 : x
  2. Step 2: Convert to fraction form
    11,198/16,797 = 2,990/x
  3. Step 3: Cross multiply
    11,198x = 16,797 × 2,990
  4. Step 4: Simplify right side
    11,198x = 50,223,030
  5. Step 5: Solve for x
    x = 50,223,030/11,198
  6. Step 6: Final answer
    x = 4,485

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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.