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Finding the Fourth Proportional to 1,920.38, 2,650.46 and 1,832.73

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Solution

The fourth proportional to 1,920.38, 2,650.46 and 1,832.73 is: 2,529.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.38 : 2,650.46 = 1,832.73 : x
  2. Step 2: Convert to fraction form
    1,920.38/2,650.46 = 1,832.73/x
  3. Step 3: Cross multiply
    1,920.38x = 2,650.46 × 1,832.73
  4. Step 4: Simplify right side
    1,920.38x = 4,857,573.73
  5. Step 5: Solve for x
    x = 4,857,573.73/1,920.38
  6. Step 6: Final answer
    x = 2,529.49

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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.