Home / 2,209.71-3,314.43-822.86

Finding the Fourth Proportional to 2,209.71, 3,314.43 and 822.86

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Solution

The fourth proportional to 2,209.71, 3,314.43 and 822.86 is: 1,234.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.71 : 3,314.43 = 822.86 : x
  2. Step 2: Convert to fraction form
    2,209.71/3,314.43 = 822.86/x
  3. Step 3: Cross multiply
    2,209.71x = 3,314.43 × 822.86
  4. Step 4: Simplify right side
    2,209.71x = 2,727,295.30
  5. Step 5: Solve for x
    x = 2,727,295.30/2,209.71
  6. Step 6: Final answer
    x = 1,234.23

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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.