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Finding the Fourth Proportional to 5,326.86, 7,993.92 and 2,731.62

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Solution

The fourth proportional to 5,326.86, 7,993.92 and 2,731.62 is: 4,099.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,326.86 : 7,993.92 = 2,731.62 : x
  2. Step 2: Convert to fraction form
    5,326.86/7,993.92 = 2,731.62/x
  3. Step 3: Cross multiply
    5,326.86x = 7,993.92 × 2,731.62
  4. Step 4: Simplify right side
    5,326.86x = 21,836,351.75
  5. Step 5: Solve for x
    x = 21,836,351.75/5,326.86
  6. Step 6: Final answer
    x = 4,099.29

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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.