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Finding the Fourth Proportional to 27,881, 41,825.40 and 8,160.98

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Solution

The fourth proportional to 27,881, 41,825.40 and 8,160.98 is: 12,242.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,881 : 41,825.40 = 8,160.98 : x
  2. Step 2: Convert to fraction form
    27,881/41,825.40 = 8,160.98/x
  3. Step 3: Cross multiply
    27,881x = 41,825.40 × 8,160.98
  4. Step 4: Simplify right side
    27,881x = 341,336,252.89
  5. Step 5: Solve for x
    x = 341,336,252.89/27,881
  6. Step 6: Final answer
    x = 12,242.61

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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.