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Finding the Fourth Proportional to 27,838.78, 41,758.15 and 6,778.81

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Solution

The fourth proportional to 27,838.78, 41,758.15 and 6,778.81 is: 10,168.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,838.78 : 41,758.15 = 6,778.81 : x
  2. Step 2: Convert to fraction form
    27,838.78/41,758.15 = 6,778.81/x
  3. Step 3: Cross multiply
    27,838.78x = 41,758.15 × 6,778.81
  4. Step 4: Simplify right side
    27,838.78x = 283,070,564.80
  5. Step 5: Solve for x
    x = 283,070,564.80/27,838.78
  6. Step 6: Final answer
    x = 10,168.21

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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.