Home / 2,197.14-3,297.00-811.45

Finding the Fourth Proportional to 2,197.14, 3,297.00 and 811.45

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Solution

The fourth proportional to 2,197.14, 3,297.00 and 811.45 is: 1,217.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.14 : 3,297.00 = 811.45 : x
  2. Step 2: Convert to fraction form
    2,197.14/3,297.00 = 811.45/x
  3. Step 3: Cross multiply
    2,197.14x = 3,297.00 × 811.45
  4. Step 4: Simplify right side
    2,197.14x = 2,675,357.81
  5. Step 5: Solve for x
    x = 2,675,357.81/2,197.14
  6. Step 6: Final answer
    x = 1,217.65

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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.