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Finding the Fourth Proportional to 27,871.80, 41,806.07 and 20,382.94

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Solution

The fourth proportional to 27,871.80, 41,806.07 and 20,382.94 is: 30,573.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,871.80 : 41,806.07 = 20,382.94 : x
  2. Step 2: Convert to fraction form
    27,871.80/41,806.07 = 20,382.94/x
  3. Step 3: Cross multiply
    27,871.80x = 41,806.07 × 20,382.94
  4. Step 4: Simplify right side
    27,871.80x = 852,130,616.45
  5. Step 5: Solve for x
    x = 852,130,616.45/27,871.80
  6. Step 6: Final answer
    x = 30,573.22

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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.