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Finding the Fourth Proportional to 27,857.81, 41,781.87 and 12,863.66

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Solution

The fourth proportional to 27,857.81, 41,781.87 and 12,863.66 is: 19,293.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,857.81 : 41,781.87 = 12,863.66 : x
  2. Step 2: Convert to fraction form
    27,857.81/41,781.87 = 12,863.66/x
  3. Step 3: Cross multiply
    27,857.81x = 41,781.87 × 12,863.66
  4. Step 4: Simplify right side
    27,857.81x = 537,467,560.93
  5. Step 5: Solve for x
    x = 537,467,560.93/27,857.81
  6. Step 6: Final answer
    x = 19,293.24

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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.