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Finding the Fourth Proportional to 25,376.12, 38,067.82 and 7,847.31

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Solution

The fourth proportional to 25,376.12, 38,067.82 and 7,847.31 is: 11,772.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,376.12 : 38,067.82 = 7,847.31 : x
  2. Step 2: Convert to fraction form
    25,376.12/38,067.82 = 7,847.31/x
  3. Step 3: Cross multiply
    25,376.12x = 38,067.82 × 7,847.31
  4. Step 4: Simplify right side
    25,376.12x = 298,729,984.56
  5. Step 5: Solve for x
    x = 298,729,984.56/25,376.12
  6. Step 6: Final answer
    x = 11,772.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.