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Finding the Fourth Proportional to 19,936, 29,906.48 and 6,787.36

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Solution

The fourth proportional to 19,936, 29,906.48 and 6,787.36 is: 10,181.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,936 : 29,906.48 = 6,787.36 : x
  2. Step 2: Convert to fraction form
    19,936/29,906.48 = 6,787.36/x
  3. Step 3: Cross multiply
    19,936x = 29,906.48 × 6,787.36
  4. Step 4: Simplify right side
    19,936x = 202,986,046.09
  5. Step 5: Solve for x
    x = 202,986,046.09/19,936
  6. Step 6: Final answer
    x = 10,181.88

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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.