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Finding the Fourth Proportional to 33,843.50, 50,770.10 and 10,471.76

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Solution

The fourth proportional to 33,843.50, 50,770.10 and 10,471.76 is: 15,709.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,843.50 : 50,770.10 = 10,471.76 : x
  2. Step 2: Convert to fraction form
    33,843.50/50,770.10 = 10,471.76/x
  3. Step 3: Cross multiply
    33,843.50x = 50,770.10 × 10,471.76
  4. Step 4: Simplify right side
    33,843.50x = 531,652,302.38
  5. Step 5: Solve for x
    x = 531,652,302.38/33,843.50
  6. Step 6: Final answer
    x = 15,709.14

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1.5x scale

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.