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Finding the Fourth Proportional to 26,427, 39,640.50 and 7,959

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Solution

The fourth proportional to 26,427, 39,640.50 and 7,959 is: 11,938.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,427 : 39,640.50 = 7,959 : x
  2. Step 2: Convert to fraction form
    26,427/39,640.50 = 7,959/x
  3. Step 3: Cross multiply
    26,427x = 39,640.50 × 7,959
  4. Step 4: Simplify right side
    26,427x = 315,498,739.50
  5. Step 5: Solve for x
    x = 315,498,739.50/26,427
  6. Step 6: Final answer
    x = 11,938.50

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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.