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Finding the Fourth Proportional to 19,936, 27,511.68 and 11,104

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Solution

The fourth proportional to 19,936, 27,511.68 and 11,104 is: 15,323.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,936 : 27,511.68 = 11,104 : x
  2. Step 2: Convert to fraction form
    19,936/27,511.68 = 11,104/x
  3. Step 3: Cross multiply
    19,936x = 27,511.68 × 11,104
  4. Step 4: Simplify right side
    19,936x = 305,489,694.72
  5. Step 5: Solve for x
    x = 305,489,694.72/19,936
  6. Step 6: Final answer
    x = 15,323.52

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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.