Home / 2,206.87-3,310.71-821.16

Finding the Fourth Proportional to 2,206.87, 3,310.71 and 821.16

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Solution

The fourth proportional to 2,206.87, 3,310.71 and 821.16 is: 1,231.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.87 : 3,310.71 = 821.16 : x
  2. Step 2: Convert to fraction form
    2,206.87/3,310.71 = 821.16/x
  3. Step 3: Cross multiply
    2,206.87x = 3,310.71 × 821.16
  4. Step 4: Simplify right side
    2,206.87x = 2,718,622.62
  5. Step 5: Solve for x
    x = 2,718,622.62/2,206.87
  6. Step 6: Final answer
    x = 1,231.89

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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.