Home / 2,209.04-3,311.46-821.43

Finding the Fourth Proportional to 2,209.04, 3,311.46 and 821.43

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Solution

The fourth proportional to 2,209.04, 3,311.46 and 821.43 is: 1,231.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.04 : 3,311.46 = 821.43 : x
  2. Step 2: Convert to fraction form
    2,209.04/3,311.46 = 821.43/x
  3. Step 3: Cross multiply
    2,209.04x = 3,311.46 × 821.43
  4. Step 4: Simplify right side
    2,209.04x = 2,720,132.59
  5. Step 5: Solve for x
    x = 2,720,132.59/2,209.04
  6. Step 6: Final answer
    x = 1,231.37

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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.