Home / 2,209.16-3,311.64-821.55

Finding the Fourth Proportional to 2,209.16, 3,311.64 and 821.55

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Solution

The fourth proportional to 2,209.16, 3,311.64 and 821.55 is: 1,231.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.16 : 3,311.64 = 821.55 : x
  2. Step 2: Convert to fraction form
    2,209.16/3,311.64 = 821.55/x
  3. Step 3: Cross multiply
    2,209.16x = 3,311.64 × 821.55
  4. Step 4: Simplify right side
    2,209.16x = 2,720,673.73
  5. Step 5: Solve for x
    x = 2,720,673.73/2,209.16
  6. Step 6: Final answer
    x = 1,231.54

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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.