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Finding the Fourth Proportional to 27,871.92, 41,785.92 and 13,822.56

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Solution

The fourth proportional to 27,871.92, 41,785.92 and 13,822.56 is: 20,722.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,871.92 : 41,785.92 = 13,822.56 : x
  2. Step 2: Convert to fraction form
    27,871.92/41,785.92 = 13,822.56/x
  3. Step 3: Cross multiply
    27,871.92x = 41,785.92 × 13,822.56
  4. Step 4: Simplify right side
    27,871.92x = 577,588,386.36
  5. Step 5: Solve for x
    x = 577,588,386.36/27,871.92
  6. Step 6: Final answer
    x = 20,722.95

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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.