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Finding the Fourth Proportional to 5,967.45, 8,238.87 and 3,843.78

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Solution

The fourth proportional to 5,967.45, 8,238.87 and 3,843.78 is: 5,306.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.45 : 8,238.87 = 3,843.78 : x
  2. Step 2: Convert to fraction form
    5,967.45/8,238.87 = 3,843.78/x
  3. Step 3: Cross multiply
    5,967.45x = 8,238.87 × 3,843.78
  4. Step 4: Simplify right side
    5,967.45x = 31,668,403.73
  5. Step 5: Solve for x
    x = 31,668,403.73/5,967.45
  6. Step 6: Final answer
    x = 5,306.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.