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Finding the Fourth Proportional to 33,903, 50,854.50 and 12,015

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Solution

The fourth proportional to 33,903, 50,854.50 and 12,015 is: 18,022.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,903 : 50,854.50 = 12,015 : x
  2. Step 2: Convert to fraction form
    33,903/50,854.50 = 12,015/x
  3. Step 3: Cross multiply
    33,903x = 50,854.50 × 12,015
  4. Step 4: Simplify right side
    33,903x = 611,016,817.50
  5. Step 5: Solve for x
    x = 611,016,817.50/33,903
  6. Step 6: Final answer
    x = 18,022.50

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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.