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Finding the Fourth Proportional to 2,564.44, 3,843.08 and 1,939.22

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Solution

The fourth proportional to 2,564.44, 3,843.08 and 1,939.22 is: 2,906.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.44 : 3,843.08 = 1,939.22 : x
  2. Step 2: Convert to fraction form
    2,564.44/3,843.08 = 1,939.22/x
  3. Step 3: Cross multiply
    2,564.44x = 3,843.08 × 1,939.22
  4. Step 4: Simplify right side
    2,564.44x = 7,452,577.64
  5. Step 5: Solve for x
    x = 7,452,577.64/2,564.44
  6. Step 6: Final answer
    x = 2,906.13

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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.