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Finding the Fourth Proportional to 1,939.14, 2,906.69 and 843.21

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Solution

The fourth proportional to 1,939.14, 2,906.69 and 843.21 is: 1,263.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939.14 : 2,906.69 = 843.21 : x
  2. Step 2: Convert to fraction form
    1,939.14/2,906.69 = 843.21/x
  3. Step 3: Cross multiply
    1,939.14x = 2,906.69 × 843.21
  4. Step 4: Simplify right side
    1,939.14x = 2,450,945.86
  5. Step 5: Solve for x
    x = 2,450,945.86/1,939.14
  6. Step 6: Final answer
    x = 1,263.93

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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.