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Finding the Fourth Proportional to 27,766.78, 41,639.76 and 9,992.61

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Solution

The fourth proportional to 27,766.78, 41,639.76 and 9,992.61 is: 14,985.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,766.78 : 41,639.76 = 9,992.61 : x
  2. Step 2: Convert to fraction form
    27,766.78/41,639.76 = 9,992.61/x
  3. Step 3: Cross multiply
    27,766.78x = 41,639.76 × 9,992.61
  4. Step 4: Simplify right side
    27,766.78x = 416,089,882.17
  5. Step 5: Solve for x
    x = 416,089,882.17/27,766.78
  6. Step 6: Final answer
    x = 14,985.17

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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.