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Finding the Fourth Proportional to 27,825.96, 41,739 and 8,105

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Solution

The fourth proportional to 27,825.96, 41,739 and 8,105 is: 12,157.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,825.96 : 41,739 = 8,105 : x
  2. Step 2: Convert to fraction form
    27,825.96/41,739 = 8,105/x
  3. Step 3: Cross multiply
    27,825.96x = 41,739 × 8,105
  4. Step 4: Simplify right side
    27,825.96x = 338,294,595
  5. Step 5: Solve for x
    x = 338,294,595/27,825.96
  6. Step 6: Final answer
    x = 12,157.52

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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.