Home / 2,198.27-3,297.34-811.05

Finding the Fourth Proportional to 2,198.27, 3,297.34 and 811.05

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Solution

The fourth proportional to 2,198.27, 3,297.34 and 811.05 is: 1,216.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.27 : 3,297.34 = 811.05 : x
  2. Step 2: Convert to fraction form
    2,198.27/3,297.34 = 811.05/x
  3. Step 3: Cross multiply
    2,198.27x = 3,297.34 × 811.05
  4. Step 4: Simplify right side
    2,198.27x = 2,674,296.26
  5. Step 5: Solve for x
    x = 2,674,296.26/2,198.27
  6. Step 6: Final answer
    x = 1,216.54

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1.5x scale

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.