Home / 2,198.90-3,297.35-812.00

Finding the Fourth Proportional to 2,198.90, 3,297.35 and 812.00

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Solution

The fourth proportional to 2,198.90, 3,297.35 and 812.00 is: 1,217.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.90 : 3,297.35 = 812.00 : x
  2. Step 2: Convert to fraction form
    2,198.90/3,297.35 = 812.00/x
  3. Step 3: Cross multiply
    2,198.90x = 3,297.35 × 812.00
  4. Step 4: Simplify right side
    2,198.90x = 2,677,433.74
  5. Step 5: Solve for x
    x = 2,677,433.74/2,198.90
  6. Step 6: Final answer
    x = 1,217.63

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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.