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Finding the Fourth Proportional to 21,231.92, 31,847.53 and 5,436.82

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Solution

The fourth proportional to 21,231.92, 31,847.53 and 5,436.82 is: 8,155.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,231.92 : 31,847.53 = 5,436.82 : x
  2. Step 2: Convert to fraction form
    21,231.92/31,847.53 = 5,436.82/x
  3. Step 3: Cross multiply
    21,231.92x = 31,847.53 × 5,436.82
  4. Step 4: Simplify right side
    21,231.92x = 173,149,288.05
  5. Step 5: Solve for x
    x = 173,149,288.05/21,231.92
  6. Step 6: Final answer
    x = 8,155.14

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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.