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Finding the Fourth Proportional to 19,992, 29,955.17 and 6,837.20

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Solution

The fourth proportional to 19,992, 29,955.17 and 6,837.20 is: 10,244.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,992 : 29,955.17 = 6,837.20 : x
  2. Step 2: Convert to fraction form
    19,992/29,955.17 = 6,837.20/x
  3. Step 3: Cross multiply
    19,992x = 29,955.17 × 6,837.20
  4. Step 4: Simplify right side
    19,992x = 204,809,304.36
  5. Step 5: Solve for x
    x = 204,809,304.36/19,992
  6. Step 6: Final answer
    x = 10,244.56

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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.