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Finding the Fourth Proportional to 33,930.25, 50,917.29 and 13,153.75

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Solution

The fourth proportional to 33,930.25, 50,917.29 and 13,153.75 is: 19,739.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,930.25 : 50,917.29 = 13,153.75 : x
  2. Step 2: Convert to fraction form
    33,930.25/50,917.29 = 13,153.75/x
  3. Step 3: Cross multiply
    33,930.25x = 50,917.29 × 13,153.75
  4. Step 4: Simplify right side
    33,930.25x = 669,753,303.34
  5. Step 5: Solve for x
    x = 669,753,303.34/33,930.25
  6. Step 6: Final answer
    x = 19,739.12

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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.