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Finding the Fourth Proportional to 28,906.32, 43,359.48 and 8,129.82

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Solution

The fourth proportional to 28,906.32, 43,359.48 and 8,129.82 is: 12,194.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,906.32 : 43,359.48 = 8,129.82 : x
  2. Step 2: Convert to fraction form
    28,906.32/43,359.48 = 8,129.82/x
  3. Step 3: Cross multiply
    28,906.32x = 43,359.48 × 8,129.82
  4. Step 4: Simplify right side
    28,906.32x = 352,504,767.69
  5. Step 5: Solve for x
    x = 352,504,767.69/28,906.32
  6. Step 6: Final answer
    x = 12,194.73

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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.