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Finding the Fourth Proportional to 2,757.78, 3,806.64 and 1,764.54

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Solution

The fourth proportional to 2,757.78, 3,806.64 and 1,764.54 is: 2,435.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.78 : 3,806.64 = 1,764.54 : x
  2. Step 2: Convert to fraction form
    2,757.78/3,806.64 = 1,764.54/x
  3. Step 3: Cross multiply
    2,757.78x = 3,806.64 × 1,764.54
  4. Step 4: Simplify right side
    2,757.78x = 6,716,968.55
  5. Step 5: Solve for x
    x = 6,716,968.55/2,757.78
  6. Step 6: Final answer
    x = 2,435.64

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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.