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Finding the Fourth Proportional to 26,755, 40,132.62 and 8,287

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Solution

The fourth proportional to 26,755, 40,132.62 and 8,287 is: 12,430.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,755 : 40,132.62 = 8,287 : x
  2. Step 2: Convert to fraction form
    26,755/40,132.62 = 8,287/x
  3. Step 3: Cross multiply
    26,755x = 40,132.62 × 8,287
  4. Step 4: Simplify right side
    26,755x = 332,579,021.94
  5. Step 5: Solve for x
    x = 332,579,021.94/26,755
  6. Step 6: Final answer
    x = 12,430.54

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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.