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Finding the Fourth Proportional to 27,911.95, 41,867.91 and 8,190.58

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Solution

The fourth proportional to 27,911.95, 41,867.91 and 8,190.58 is: 12,285.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,911.95 : 41,867.91 = 8,190.58 : x
  2. Step 2: Convert to fraction form
    27,911.95/41,867.91 = 8,190.58/x
  3. Step 3: Cross multiply
    27,911.95x = 41,867.91 × 8,190.58
  4. Step 4: Simplify right side
    27,911.95x = 342,922,466.29
  5. Step 5: Solve for x
    x = 342,922,466.29/27,911.95
  6. Step 6: Final answer
    x = 12,285.87

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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.