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Finding the Fourth Proportional to 7,992.90, 11,991.42 and 3,062.70

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Solution

The fourth proportional to 7,992.90, 11,991.42 and 3,062.70 is: 4,594.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,992.90 : 11,991.42 = 3,062.70 : x
  2. Step 2: Convert to fraction form
    7,992.90/11,991.42 = 3,062.70/x
  3. Step 3: Cross multiply
    7,992.90x = 11,991.42 × 3,062.70
  4. Step 4: Simplify right side
    7,992.90x = 36,726,122.03
  5. Step 5: Solve for x
    x = 36,726,122.03/7,992.90
  6. Step 6: Final answer
    x = 4,594.84

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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.