Home / 2,209.43-3,314.30-822.74

Finding the Fourth Proportional to 2,209.43, 3,314.30 and 822.74

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Solution

The fourth proportional to 2,209.43, 3,314.30 and 822.74 is: 1,234.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.43 : 3,314.30 = 822.74 : x
  2. Step 2: Convert to fraction form
    2,209.43/3,314.30 = 822.74/x
  3. Step 3: Cross multiply
    2,209.43x = 3,314.30 × 822.74
  4. Step 4: Simplify right side
    2,209.43x = 2,726,786.50
  5. Step 5: Solve for x
    x = 2,726,786.50/2,209.43
  6. Step 6: Final answer
    x = 1,234.16

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1.5x scale

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.