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Finding the Fourth Proportional to 2,908.73, 4,363.19 and 961.09

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Solution

The fourth proportional to 2,908.73, 4,363.19 and 961.09 is: 1,441.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908.73 : 4,363.19 = 961.09 : x
  2. Step 2: Convert to fraction form
    2,908.73/4,363.19 = 961.09/x
  3. Step 3: Cross multiply
    2,908.73x = 4,363.19 × 961.09
  4. Step 4: Simplify right side
    2,908.73x = 4,193,391.66
  5. Step 5: Solve for x
    x = 4,193,391.66/2,908.73
  6. Step 6: Final answer
    x = 1,441.66

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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.