Home / 2,209.21-3,313.62-821.93

Finding the Fourth Proportional to 2,209.21, 3,313.62 and 821.93

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Solution

The fourth proportional to 2,209.21, 3,313.62 and 821.93 is: 1,232.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.21 : 3,313.62 = 821.93 : x
  2. Step 2: Convert to fraction form
    2,209.21/3,313.62 = 821.93/x
  3. Step 3: Cross multiply
    2,209.21x = 3,313.62 × 821.93
  4. Step 4: Simplify right side
    2,209.21x = 2,723,563.69
  5. Step 5: Solve for x
    x = 2,723,563.69/2,209.21
  6. Step 6: Final answer
    x = 1,232.83

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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.