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Finding the Fourth Proportional to 2,769.90, 4,155.64 and 822.14

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Solution

The fourth proportional to 2,769.90, 4,155.64 and 822.14 is: 1,233.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.90 : 4,155.64 = 822.14 : x
  2. Step 2: Convert to fraction form
    2,769.90/4,155.64 = 822.14/x
  3. Step 3: Cross multiply
    2,769.90x = 4,155.64 × 822.14
  4. Step 4: Simplify right side
    2,769.90x = 3,416,517.87
  5. Step 5: Solve for x
    x = 3,416,517.87/2,769.90
  6. Step 6: Final answer
    x = 1,233.44

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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.