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Finding the Fourth Proportional to 2,644.97, 3,977.17 and 2,538.05

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Solution

The fourth proportional to 2,644.97, 3,977.17 and 2,538.05 is: 3,816.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.97 : 3,977.17 = 2,538.05 : x
  2. Step 2: Convert to fraction form
    2,644.97/3,977.17 = 2,538.05/x
  3. Step 3: Cross multiply
    2,644.97x = 3,977.17 × 2,538.05
  4. Step 4: Simplify right side
    2,644.97x = 10,094,230.09
  5. Step 5: Solve for x
    x = 10,094,230.09/2,644.97
  6. Step 6: Final answer
    x = 3,816.39

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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.