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Finding the Fourth Proportional to 33,010, 49,493.13 and 11,947.30

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Solution

The fourth proportional to 33,010, 49,493.13 and 11,947.30 is: 17,913.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,010 : 49,493.13 = 11,947.30 : x
  2. Step 2: Convert to fraction form
    33,010/49,493.13 = 11,947.30/x
  3. Step 3: Cross multiply
    33,010x = 49,493.13 × 11,947.30
  4. Step 4: Simplify right side
    33,010x = 591,309,272.05
  5. Step 5: Solve for x
    x = 591,309,272.05/33,010
  6. Step 6: Final answer
    x = 17,913.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.