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Finding the Fourth Proportional to 3,969.93, 5,946.96 and 1,891.95

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Solution

The fourth proportional to 3,969.93, 5,946.96 and 1,891.95 is: 2,834.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.93 : 5,946.96 = 1,891.95 : x
  2. Step 2: Convert to fraction form
    3,969.93/5,946.96 = 1,891.95/x
  3. Step 3: Cross multiply
    3,969.93x = 5,946.96 × 1,891.95
  4. Step 4: Simplify right side
    3,969.93x = 11,251,350.97
  5. Step 5: Solve for x
    x = 11,251,350.97/3,969.93
  6. Step 6: Final answer
    x = 2,834.14

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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.