Home / 2,209.68-3,312.60-822.18

Finding the Fourth Proportional to 2,209.68, 3,312.60 and 822.18

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Solution

The fourth proportional to 2,209.68, 3,312.60 and 822.18 is: 1,232.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.68 : 3,312.60 = 822.18 : x
  2. Step 2: Convert to fraction form
    2,209.68/3,312.60 = 822.18/x
  3. Step 3: Cross multiply
    2,209.68x = 3,312.60 × 822.18
  4. Step 4: Simplify right side
    2,209.68x = 2,723,553.47
  5. Step 5: Solve for x
    x = 2,723,553.47/2,209.68
  6. Step 6: Final answer
    x = 1,232.56

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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.