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Finding the Fourth Proportional to 27,858, 41,790.88 and 8,138

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Solution

The fourth proportional to 27,858, 41,790.88 and 8,138 is: 12,208.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,858 : 41,790.88 = 8,138 : x
  2. Step 2: Convert to fraction form
    27,858/41,790.88 = 8,138/x
  3. Step 3: Cross multiply
    27,858x = 41,790.88 × 8,138
  4. Step 4: Simplify right side
    27,858x = 340,094,181.44
  5. Step 5: Solve for x
    x = 340,094,181.44/27,858
  6. Step 6: Final answer
    x = 12,208.13

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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.