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Finding the Fourth Proportional to 1,650.97, 2,471.90 and 1,163.76

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Solution

The fourth proportional to 1,650.97, 2,471.90 and 1,163.76 is: 1,742.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.97 : 2,471.90 = 1,163.76 : x
  2. Step 2: Convert to fraction form
    1,650.97/2,471.90 = 1,163.76/x
  3. Step 3: Cross multiply
    1,650.97x = 2,471.90 × 1,163.76
  4. Step 4: Simplify right side
    1,650.97x = 2,876,698.34
  5. Step 5: Solve for x
    x = 2,876,698.34/1,650.97
  6. Step 6: Final answer
    x = 1,742.43

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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.