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Finding the Fourth Proportional to 1,960.97, 2,939.39 and 920.09

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Solution

The fourth proportional to 1,960.97, 2,939.39 and 920.09 is: 1,379.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.97 : 2,939.39 = 920.09 : x
  2. Step 2: Convert to fraction form
    1,960.97/2,939.39 = 920.09/x
  3. Step 3: Cross multiply
    1,960.97x = 2,939.39 × 920.09
  4. Step 4: Simplify right side
    1,960.97x = 2,704,512.99
  5. Step 5: Solve for x
    x = 2,704,512.99/1,960.97
  6. Step 6: Final answer
    x = 1,379.17

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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.