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Finding the Fourth Proportional to 20,213.80, 27,891.72 and 11,259.28

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Solution

The fourth proportional to 20,213.80, 27,891.72 and 11,259.28 is: 15,535.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,213.80 : 27,891.72 = 11,259.28 : x
  2. Step 2: Convert to fraction form
    20,213.80/27,891.72 = 11,259.28/x
  3. Step 3: Cross multiply
    20,213.80x = 27,891.72 × 11,259.28
  4. Step 4: Simplify right side
    20,213.80x = 314,040,685.16
  5. Step 5: Solve for x
    x = 314,040,685.16/20,213.80
  6. Step 6: Final answer
    x = 15,535.95

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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.