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Finding the Fourth Proportional to 15,936.62, 21,991.50 and 9,968

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Solution

The fourth proportional to 15,936.62, 21,991.50 and 9,968 is: 13,755.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,936.62 : 21,991.50 = 9,968 : x
  2. Step 2: Convert to fraction form
    15,936.62/21,991.50 = 9,968/x
  3. Step 3: Cross multiply
    15,936.62x = 21,991.50 × 9,968
  4. Step 4: Simplify right side
    15,936.62x = 219,211,272
  5. Step 5: Solve for x
    x = 219,211,272/15,936.62
  6. Step 6: Final answer
    x = 13,755.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.