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Finding the Fourth Proportional to 33,702, 50,554.22 and 12,639.90

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Solution

The fourth proportional to 33,702, 50,554.22 and 12,639.90 is: 18,960.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,702 : 50,554.22 = 12,639.90 : x
  2. Step 2: Convert to fraction form
    33,702/50,554.22 = 12,639.90/x
  3. Step 3: Cross multiply
    33,702x = 50,554.22 × 12,639.90
  4. Step 4: Simplify right side
    33,702x = 639,000,285.38
  5. Step 5: Solve for x
    x = 639,000,285.38/33,702
  6. Step 6: Final answer
    x = 18,960.31

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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.