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Finding the Fourth Proportional to 2,770.97, 3,822.80 and 1,776.83

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Solution

The fourth proportional to 2,770.97, 3,822.80 and 1,776.83 is: 2,451.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.97 : 3,822.80 = 1,776.83 : x
  2. Step 2: Convert to fraction form
    2,770.97/3,822.80 = 1,776.83/x
  3. Step 3: Cross multiply
    2,770.97x = 3,822.80 × 1,776.83
  4. Step 4: Simplify right side
    2,770.97x = 6,792,437.73
  5. Step 5: Solve for x
    x = 6,792,437.73/2,770.97
  6. Step 6: Final answer
    x = 2,451.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.