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Finding the Fourth Proportional to 2,770.53, 4,156.25 and 822.93

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Solution

The fourth proportional to 2,770.53, 4,156.25 and 822.93 is: 1,234.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.53 : 4,156.25 = 822.93 : x
  2. Step 2: Convert to fraction form
    2,770.53/4,156.25 = 822.93/x
  3. Step 3: Cross multiply
    2,770.53x = 4,156.25 × 822.93
  4. Step 4: Simplify right side
    2,770.53x = 3,420,298.70
  5. Step 5: Solve for x
    x = 3,420,298.70/2,770.53
  6. Step 6: Final answer
    x = 1,234.53

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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.