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Finding the Fourth Proportional to 53,936, 80,904 and 17,000

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Solution

The fourth proportional to 53,936, 80,904 and 17,000 is: 25,500

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,936 : 80,904 = 17,000 : x
  2. Step 2: Convert to fraction form
    53,936/80,904 = 17,000/x
  3. Step 3: Cross multiply
    53,936x = 80,904 × 17,000
  4. Step 4: Simplify right side
    53,936x = 1,375,368,000
  5. Step 5: Solve for x
    x = 1,375,368,000/53,936
  6. Step 6: Final answer
    x = 25,500

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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.