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Finding the Fourth Proportional to 27,227, 40,840.50 and 8,759

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Solution

The fourth proportional to 27,227, 40,840.50 and 8,759 is: 13,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,227 : 40,840.50 = 8,759 : x
  2. Step 2: Convert to fraction form
    27,227/40,840.50 = 8,759/x
  3. Step 3: Cross multiply
    27,227x = 40,840.50 × 8,759
  4. Step 4: Simplify right side
    27,227x = 357,721,939.50
  5. Step 5: Solve for x
    x = 357,721,939.50/27,227
  6. Step 6: Final answer
    x = 13,138.50

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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.