Home / 2,769.22-4,153.12-820.96

Finding the Fourth Proportional to 2,769.22, 4,153.12 and 820.96

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Solution

The fourth proportional to 2,769.22, 4,153.12 and 820.96 is: 1,231.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.22 : 4,153.12 = 820.96 : x
  2. Step 2: Convert to fraction form
    2,769.22/4,153.12 = 820.96/x
  3. Step 3: Cross multiply
    2,769.22x = 4,153.12 × 820.96
  4. Step 4: Simplify right side
    2,769.22x = 3,409,545.40
  5. Step 5: Solve for x
    x = 3,409,545.40/2,769.22
  6. Step 6: Final answer
    x = 1,231.23

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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.