Home / 2,199.47-3,297.42-811.92

Finding the Fourth Proportional to 2,199.47, 3,297.42 and 811.92

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Solution

The fourth proportional to 2,199.47, 3,297.42 and 811.92 is: 1,217.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.47 : 3,297.42 = 811.92 : x
  2. Step 2: Convert to fraction form
    2,199.47/3,297.42 = 811.92/x
  3. Step 3: Cross multiply
    2,199.47x = 3,297.42 × 811.92
  4. Step 4: Simplify right side
    2,199.47x = 2,677,249.62
  5. Step 5: Solve for x
    x = 2,677,249.62/2,199.47
  6. Step 6: Final answer
    x = 1,217.22

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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.