Home / 3,198.88-4,790.64-1,828

Finding the Fourth Proportional to 3,198.88, 4,790.64 and 1,828

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Solution

The fourth proportional to 3,198.88, 4,790.64 and 1,828 is: 2,737.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.88 : 4,790.64 = 1,828 : x
  2. Step 2: Convert to fraction form
    3,198.88/4,790.64 = 1,828/x
  3. Step 3: Cross multiply
    3,198.88x = 4,790.64 × 1,828
  4. Step 4: Simplify right side
    3,198.88x = 8,757,289.92
  5. Step 5: Solve for x
    x = 8,757,289.92/3,198.88
  6. Step 6: Final answer
    x = 2,737.61

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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.