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Finding the Fourth Proportional to 1,381.83, 1,906.97 and 792.48

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Solution

The fourth proportional to 1,381.83, 1,906.97 and 792.48 is: 1,093.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.83 : 1,906.97 = 792.48 : x
  2. Step 2: Convert to fraction form
    1,381.83/1,906.97 = 792.48/x
  3. Step 3: Cross multiply
    1,381.83x = 1,906.97 × 792.48
  4. Step 4: Simplify right side
    1,381.83x = 1,511,231.62
  5. Step 5: Solve for x
    x = 1,511,231.62/1,381.83
  6. Step 6: Final answer
    x = 1,093.65

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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.