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Finding the Fourth Proportional to 2,272.97, 3,407 and 1,100.49

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Solution

The fourth proportional to 2,272.97, 3,407 and 1,100.49 is: 1,649.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.97 : 3,407 = 1,100.49 : x
  2. Step 2: Convert to fraction form
    2,272.97/3,407 = 1,100.49/x
  3. Step 3: Cross multiply
    2,272.97x = 3,407 × 1,100.49
  4. Step 4: Simplify right side
    2,272.97x = 3,749,369.43
  5. Step 5: Solve for x
    x = 3,749,369.43/2,272.97
  6. Step 6: Final answer
    x = 1,649.55

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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.