Home / 2,198.41-3,297.66-811.87

Finding the Fourth Proportional to 2,198.41, 3,297.66 and 811.87

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Solution

The fourth proportional to 2,198.41, 3,297.66 and 811.87 is: 1,217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.41 : 3,297.66 = 811.87 : x
  2. Step 2: Convert to fraction form
    2,198.41/3,297.66 = 811.87/x
  3. Step 3: Cross multiply
    2,198.41x = 3,297.66 × 811.87
  4. Step 4: Simplify right side
    2,198.41x = 2,677,271.22
  5. Step 5: Solve for x
    x = 2,677,271.22/2,198.41
  6. Step 6: Final answer
    x = 1,217.82

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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.