Home / 2,122.72-3,184.62-1,198.96

Finding the Fourth Proportional to 2,122.72, 3,184.62 and 1,198.96

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Solution

The fourth proportional to 2,122.72, 3,184.62 and 1,198.96 is: 1,798.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.72 : 3,184.62 = 1,198.96 : x
  2. Step 2: Convert to fraction form
    2,122.72/3,184.62 = 1,198.96/x
  3. Step 3: Cross multiply
    2,122.72x = 3,184.62 × 1,198.96
  4. Step 4: Simplify right side
    2,122.72x = 3,818,232.00
  5. Step 5: Solve for x
    x = 3,818,232.00/2,122.72
  6. Step 6: Final answer
    x = 1,798.75

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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.