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Finding the Fourth Proportional to 33,980.28, 50,912.90 and 20,805.14

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Solution

The fourth proportional to 33,980.28, 50,912.90 and 20,805.14 is: 31,172.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,980.28 : 50,912.90 = 20,805.14 : x
  2. Step 2: Convert to fraction form
    33,980.28/50,912.90 = 20,805.14/x
  3. Step 3: Cross multiply
    33,980.28x = 50,912.90 × 20,805.14
  4. Step 4: Simplify right side
    33,980.28x = 1,059,250,012.31
  5. Step 5: Solve for x
    x = 1,059,250,012.31/33,980.28
  6. Step 6: Final answer
    x = 31,172.49

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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.