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Finding the Fourth Proportional to 2,765.76, 3,815.52 and 1,770.64

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Solution

The fourth proportional to 2,765.76, 3,815.52 and 1,770.64 is: 2,442.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.76 : 3,815.52 = 1,770.64 : x
  2. Step 2: Convert to fraction form
    2,765.76/3,815.52 = 1,770.64/x
  3. Step 3: Cross multiply
    2,765.76x = 3,815.52 × 1,770.64
  4. Step 4: Simplify right side
    2,765.76x = 6,755,912.33
  5. Step 5: Solve for x
    x = 6,755,912.33/2,765.76
  6. Step 6: Final answer
    x = 2,442.70

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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.