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Finding the Fourth Proportional to 20,286.24, 27,994.80 and 11,901.12

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Solution

The fourth proportional to 20,286.24, 27,994.80 and 11,901.12 is: 16,423.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,286.24 : 27,994.80 = 11,901.12 : x
  2. Step 2: Convert to fraction form
    20,286.24/27,994.80 = 11,901.12/x
  3. Step 3: Cross multiply
    20,286.24x = 27,994.80 × 11,901.12
  4. Step 4: Simplify right side
    20,286.24x = 333,169,474.18
  5. Step 5: Solve for x
    x = 333,169,474.18/20,286.24
  6. Step 6: Final answer
    x = 16,423.42

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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.