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Finding the Fourth Proportional to 53,938, 80,907 and 17,002

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Solution

The fourth proportional to 53,938, 80,907 and 17,002 is: 25,503

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,938 : 80,907 = 17,002 : x
  2. Step 2: Convert to fraction form
    53,938/80,907 = 17,002/x
  3. Step 3: Cross multiply
    53,938x = 80,907 × 17,002
  4. Step 4: Simplify right side
    53,938x = 1,375,580,814
  5. Step 5: Solve for x
    x = 1,375,580,814/53,938
  6. Step 6: Final answer
    x = 25,503

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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.