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Finding the Fourth Proportional to 2,757.89, 3,806.78 and 1,765.84

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Solution

The fourth proportional to 2,757.89, 3,806.78 and 1,765.84 is: 2,437.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.89 : 3,806.78 = 1,765.84 : x
  2. Step 2: Convert to fraction form
    2,757.89/3,806.78 = 1,765.84/x
  3. Step 3: Cross multiply
    2,757.89x = 3,806.78 × 1,765.84
  4. Step 4: Simplify right side
    2,757.89x = 6,722,155.57
  5. Step 5: Solve for x
    x = 6,722,155.57/2,757.89
  6. Step 6: Final answer
    x = 2,437.43

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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.