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Finding the Fourth Proportional to 5,781.25, 7,978.13 and 3,297.25

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Solution

The fourth proportional to 5,781.25, 7,978.13 and 3,297.25 is: 4,550.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.25 : 7,978.13 = 3,297.25 : x
  2. Step 2: Convert to fraction form
    5,781.25/7,978.13 = 3,297.25/x
  3. Step 3: Cross multiply
    5,781.25x = 7,978.13 × 3,297.25
  4. Step 4: Simplify right side
    5,781.25x = 26,305,889.14
  5. Step 5: Solve for x
    x = 26,305,889.14/5,781.25
  6. Step 6: Final answer
    x = 4,550.21

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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.