Home / 2,770.59-4,156.58-822.74

Finding the Fourth Proportional to 2,770.59, 4,156.58 and 822.74

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Solution

The fourth proportional to 2,770.59, 4,156.58 and 822.74 is: 1,234.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.59 : 4,156.58 = 822.74 : x
  2. Step 2: Convert to fraction form
    2,770.59/4,156.58 = 822.74/x
  3. Step 3: Cross multiply
    2,770.59x = 4,156.58 × 822.74
  4. Step 4: Simplify right side
    2,770.59x = 3,419,770.12
  5. Step 5: Solve for x
    x = 3,419,770.12/2,770.59
  6. Step 6: Final answer
    x = 1,234.31

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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.