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Finding the Fourth Proportional to 7,540.62, 11,310.97 and 1,993.90

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Solution

The fourth proportional to 7,540.62, 11,310.97 and 1,993.90 is: 2,990.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540.62 : 11,310.97 = 1,993.90 : x
  2. Step 2: Convert to fraction form
    7,540.62/11,310.97 = 1,993.90/x
  3. Step 3: Cross multiply
    7,540.62x = 11,310.97 × 1,993.90
  4. Step 4: Simplify right side
    7,540.62x = 22,552,943.08
  5. Step 5: Solve for x
    x = 22,552,943.08/7,540.62
  6. Step 6: Final answer
    x = 2,990.86

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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.