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Finding the Fourth Proportional to 2,770.64, 4,156.08 and 822.80

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Solution

The fourth proportional to 2,770.64, 4,156.08 and 822.80 is: 1,234.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.64 : 4,156.08 = 822.80 : x
  2. Step 2: Convert to fraction form
    2,770.64/4,156.08 = 822.80/x
  3. Step 3: Cross multiply
    2,770.64x = 4,156.08 × 822.80
  4. Step 4: Simplify right side
    2,770.64x = 3,419,622.62
  5. Step 5: Solve for x
    x = 3,419,622.62/2,770.64
  6. Step 6: Final answer
    x = 1,234.24

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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.