Home / 2,209.63-3,314.56-822.65

Finding the Fourth Proportional to 2,209.63, 3,314.56 and 822.65

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Solution

The fourth proportional to 2,209.63, 3,314.56 and 822.65 is: 1,234.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.63 : 3,314.56 = 822.65 : x
  2. Step 2: Convert to fraction form
    2,209.63/3,314.56 = 822.65/x
  3. Step 3: Cross multiply
    2,209.63x = 3,314.56 × 822.65
  4. Step 4: Simplify right side
    2,209.63x = 2,726,722.78
  5. Step 5: Solve for x
    x = 2,726,722.78/2,209.63
  6. Step 6: Final answer
    x = 1,234.02

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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.