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Finding the Fourth Proportional to 3,982.93, 5,976.99 and 1,517.77

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Solution

The fourth proportional to 3,982.93, 5,976.99 and 1,517.77 is: 2,277.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.93 : 5,976.99 = 1,517.77 : x
  2. Step 2: Convert to fraction form
    3,982.93/5,976.99 = 1,517.77/x
  3. Step 3: Cross multiply
    3,982.93x = 5,976.99 × 1,517.77
  4. Step 4: Simplify right side
    3,982.93x = 9,071,696.11
  5. Step 5: Solve for x
    x = 9,071,696.11/3,982.93
  6. Step 6: Final answer
    x = 2,277.64

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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.