Home / 2,198.58-3,298.34-811.92

Finding the Fourth Proportional to 2,198.58, 3,298.34 and 811.92

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Solution

The fourth proportional to 2,198.58, 3,298.34 and 811.92 is: 1,218.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.58 : 3,298.34 = 811.92 : x
  2. Step 2: Convert to fraction form
    2,198.58/3,298.34 = 811.92/x
  3. Step 3: Cross multiply
    2,198.58x = 3,298.34 × 811.92
  4. Step 4: Simplify right side
    2,198.58x = 2,677,988.21
  5. Step 5: Solve for x
    x = 2,677,988.21/2,198.58
  6. Step 6: Final answer
    x = 1,218.05

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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.