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Finding the Fourth Proportional to 2,769.72, 4,154.54 and 823.24

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Solution

The fourth proportional to 2,769.72, 4,154.54 and 823.24 is: 1,234.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.72 : 4,154.54 = 823.24 : x
  2. Step 2: Convert to fraction form
    2,769.72/4,154.54 = 823.24/x
  3. Step 3: Cross multiply
    2,769.72x = 4,154.54 × 823.24
  4. Step 4: Simplify right side
    2,769.72x = 3,420,183.51
  5. Step 5: Solve for x
    x = 3,420,183.51/2,769.72
  6. Step 6: Final answer
    x = 1,234.85

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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.