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Finding the Fourth Proportional to 25,644.42, 38,462.78 and 8,111.97

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Solution

The fourth proportional to 25,644.42, 38,462.78 and 8,111.97 is: 12,166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,644.42 : 38,462.78 = 8,111.97 : x
  2. Step 2: Convert to fraction form
    25,644.42/38,462.78 = 8,111.97/x
  3. Step 3: Cross multiply
    25,644.42x = 38,462.78 × 8,111.97
  4. Step 4: Simplify right side
    25,644.42x = 312,008,917.48
  5. Step 5: Solve for x
    x = 312,008,917.48/25,644.42
  6. Step 6: Final answer
    x = 12,166.74

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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.