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Finding the Fourth Proportional to 3,992.93, 5,982.09 and 2,894.57

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Solution

The fourth proportional to 3,992.93, 5,982.09 and 2,894.57 is: 4,336.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.93 : 5,982.09 = 2,894.57 : x
  2. Step 2: Convert to fraction form
    3,992.93/5,982.09 = 2,894.57/x
  3. Step 3: Cross multiply
    3,992.93x = 5,982.09 × 2,894.57
  4. Step 4: Simplify right side
    3,992.93x = 17,315,548.34
  5. Step 5: Solve for x
    x = 17,315,548.34/3,992.93
  6. Step 6: Final answer
    x = 4,336.56

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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.