Home / 2,209.70-3,312.42-822.66

Finding the Fourth Proportional to 2,209.70, 3,312.42 and 822.66

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Solution

The fourth proportional to 2,209.70, 3,312.42 and 822.66 is: 1,233.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.70 : 3,312.42 = 822.66 : x
  2. Step 2: Convert to fraction form
    2,209.70/3,312.42 = 822.66/x
  3. Step 3: Cross multiply
    2,209.70x = 3,312.42 × 822.66
  4. Step 4: Simplify right side
    2,209.70x = 2,724,995.44
  5. Step 5: Solve for x
    x = 2,724,995.44/2,209.70
  6. Step 6: Final answer
    x = 1,233.20

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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.