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Finding the Fourth Proportional to 2,761.77, 4,142.78 and 1,662.75

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Solution

The fourth proportional to 2,761.77, 4,142.78 and 1,662.75 is: 2,494.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.77 : 4,142.78 = 1,662.75 : x
  2. Step 2: Convert to fraction form
    2,761.77/4,142.78 = 1,662.75/x
  3. Step 3: Cross multiply
    2,761.77x = 4,142.78 × 1,662.75
  4. Step 4: Simplify right side
    2,761.77x = 6,888,399.13
  5. Step 5: Solve for x
    x = 6,888,399.13/2,761.77
  6. Step 6: Final answer
    x = 2,494.20

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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.