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Finding the Fourth Proportional to 27,859, 41,792.38 and 8,139

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Solution

The fourth proportional to 27,859, 41,792.38 and 8,139 is: 12,209.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,859 : 41,792.38 = 8,139 : x
  2. Step 2: Convert to fraction form
    27,859/41,792.38 = 8,139/x
  3. Step 3: Cross multiply
    27,859x = 41,792.38 × 8,139
  4. Step 4: Simplify right side
    27,859x = 340,148,180.82
  5. Step 5: Solve for x
    x = 340,148,180.82/27,859
  6. Step 6: Final answer
    x = 12,209.63

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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.