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Finding the Fourth Proportional to 15,936, 21,991.68 and 9,312

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Solution

The fourth proportional to 15,936, 21,991.68 and 9,312 is: 12,850.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,936 : 21,991.68 = 9,312 : x
  2. Step 2: Convert to fraction form
    15,936/21,991.68 = 9,312/x
  3. Step 3: Cross multiply
    15,936x = 21,991.68 × 9,312
  4. Step 4: Simplify right side
    15,936x = 204,786,524.16
  5. Step 5: Solve for x
    x = 204,786,524.16/15,936
  6. Step 6: Final answer
    x = 12,850.56

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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.