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Finding the Fourth Proportional to 33,419, 50,128.50 and 8,795

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Solution

The fourth proportional to 33,419, 50,128.50 and 8,795 is: 13,192.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,419 : 50,128.50 = 8,795 : x
  2. Step 2: Convert to fraction form
    33,419/50,128.50 = 8,795/x
  3. Step 3: Cross multiply
    33,419x = 50,128.50 × 8,795
  4. Step 4: Simplify right side
    33,419x = 440,880,157.50
  5. Step 5: Solve for x
    x = 440,880,157.50/33,419
  6. Step 6: Final answer
    x = 13,192.50

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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.