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Finding the Fourth Proportional to 2,832.40, 3,906.84 and 2,242

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Solution

The fourth proportional to 2,832.40, 3,906.84 and 2,242 is: 3,092.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.40 : 3,906.84 = 2,242 : x
  2. Step 2: Convert to fraction form
    2,832.40/3,906.84 = 2,242/x
  3. Step 3: Cross multiply
    2,832.40x = 3,906.84 × 2,242
  4. Step 4: Simplify right side
    2,832.40x = 8,759,135.28
  5. Step 5: Solve for x
    x = 8,759,135.28/2,832.40
  6. Step 6: Final answer
    x = 3,092.48

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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.