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Finding the Fourth Proportional to 20,122.80, 27,763.02 and 11,623.80

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Solution

The fourth proportional to 20,122.80, 27,763.02 and 11,623.80 is: 16,037.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,122.80 : 27,763.02 = 11,623.80 : x
  2. Step 2: Convert to fraction form
    20,122.80/27,763.02 = 11,623.80/x
  3. Step 3: Cross multiply
    20,122.80x = 27,763.02 × 11,623.80
  4. Step 4: Simplify right side
    20,122.80x = 322,711,791.88
  5. Step 5: Solve for x
    x = 322,711,791.88/20,122.80
  6. Step 6: Final answer
    x = 16,037.12

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1.5x scale

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.