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Finding the Fourth Proportional to 28,593, 42,906.78 and 12,177

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Solution

The fourth proportional to 28,593, 42,906.78 and 12,177 is: 18,272.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,593 : 42,906.78 = 12,177 : x
  2. Step 2: Convert to fraction form
    28,593/42,906.78 = 12,177/x
  3. Step 3: Cross multiply
    28,593x = 42,906.78 × 12,177
  4. Step 4: Simplify right side
    28,593x = 522,475,860.06
  5. Step 5: Solve for x
    x = 522,475,860.06/28,593
  6. Step 6: Final answer
    x = 18,272.86

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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.