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Finding the Fourth Proportional to 20,209.50, 27,891 and 11,826

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Solution

The fourth proportional to 20,209.50, 27,891 and 11,826 is: 16,320.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,209.50 : 27,891 = 11,826 : x
  2. Step 2: Convert to fraction form
    20,209.50/27,891 = 11,826/x
  3. Step 3: Cross multiply
    20,209.50x = 27,891 × 11,826
  4. Step 4: Simplify right side
    20,209.50x = 329,838,966
  5. Step 5: Solve for x
    x = 329,838,966/20,209.50
  6. Step 6: Final answer
    x = 16,320.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.