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Finding the Fourth Proportional to 3,805.97, 5,709.87 and 1,208.91

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Solution

The fourth proportional to 3,805.97, 5,709.87 and 1,208.91 is: 1,813.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.97 : 5,709.87 = 1,208.91 : x
  2. Step 2: Convert to fraction form
    3,805.97/5,709.87 = 1,208.91/x
  3. Step 3: Cross multiply
    3,805.97x = 5,709.87 × 1,208.91
  4. Step 4: Simplify right side
    3,805.97x = 6,902,718.94
  5. Step 5: Solve for x
    x = 6,902,718.94/3,805.97
  6. Step 6: Final answer
    x = 1,813.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.