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Finding the Fourth Proportional to 2,608.94, 3,914.31 and 1,633.88

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Solution

The fourth proportional to 2,608.94, 3,914.31 and 1,633.88 is: 2,451.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.94 : 3,914.31 = 1,633.88 : x
  2. Step 2: Convert to fraction form
    2,608.94/3,914.31 = 1,633.88/x
  3. Step 3: Cross multiply
    2,608.94x = 3,914.31 × 1,633.88
  4. Step 4: Simplify right side
    2,608.94x = 6,395,512.82
  5. Step 5: Solve for x
    x = 6,395,512.82/2,608.94
  6. Step 6: Final answer
    x = 2,451.38

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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.