Home / 2,209.40-3,314.03-822.17

Finding the Fourth Proportional to 2,209.40, 3,314.03 and 822.17

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Solution

The fourth proportional to 2,209.40, 3,314.03 and 822.17 is: 1,233.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.40 : 3,314.03 = 822.17 : x
  2. Step 2: Convert to fraction form
    2,209.40/3,314.03 = 822.17/x
  3. Step 3: Cross multiply
    2,209.40x = 3,314.03 × 822.17
  4. Step 4: Simplify right side
    2,209.40x = 2,724,696.05
  5. Step 5: Solve for x
    x = 2,724,696.05/2,209.40
  6. Step 6: Final answer
    x = 1,233.23

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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.