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Finding the Fourth Proportional to 2,770.78, 4,155.08 and 822.46

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Solution

The fourth proportional to 2,770.78, 4,155.08 and 822.46 is: 1,233.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.78 : 4,155.08 = 822.46 : x
  2. Step 2: Convert to fraction form
    2,770.78/4,155.08 = 822.46/x
  3. Step 3: Cross multiply
    2,770.78x = 4,155.08 × 822.46
  4. Step 4: Simplify right side
    2,770.78x = 3,417,387.10
  5. Step 5: Solve for x
    x = 3,417,387.10/2,770.78
  6. Step 6: Final answer
    x = 1,233.37

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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.