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Finding the Fourth Proportional to 1,650.88, 2,485.87 and 1,361.11

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Solution

The fourth proportional to 1,650.88, 2,485.87 and 1,361.11 is: 2,049.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.88 : 2,485.87 = 1,361.11 : x
  2. Step 2: Convert to fraction form
    1,650.88/2,485.87 = 1,361.11/x
  3. Step 3: Cross multiply
    1,650.88x = 2,485.87 × 1,361.11
  4. Step 4: Simplify right side
    1,650.88x = 3,383,542.52
  5. Step 5: Solve for x
    x = 3,383,542.52/1,650.88
  6. Step 6: Final answer
    x = 2,049.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.