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Finding the Fourth Proportional to 1,822.43, 2,728.49 and 1,649.43

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Solution

The fourth proportional to 1,822.43, 2,728.49 and 1,649.43 is: 2,469.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.43 : 2,728.49 = 1,649.43 : x
  2. Step 2: Convert to fraction form
    1,822.43/2,728.49 = 1,649.43/x
  3. Step 3: Cross multiply
    1,822.43x = 2,728.49 × 1,649.43
  4. Step 4: Simplify right side
    1,822.43x = 4,500,445.01
  5. Step 5: Solve for x
    x = 4,500,445.01/1,822.43
  6. Step 6: Final answer
    x = 2,469.47

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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.