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Finding the Fourth Proportional to 19,994.88, 30,001.92 and 7,680

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Solution

The fourth proportional to 19,994.88, 30,001.92 and 7,680 is: 11,523.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,994.88 : 30,001.92 = 7,680 : x
  2. Step 2: Convert to fraction form
    19,994.88/30,001.92 = 7,680/x
  3. Step 3: Cross multiply
    19,994.88x = 30,001.92 × 7,680
  4. Step 4: Simplify right side
    19,994.88x = 230,414,745.60
  5. Step 5: Solve for x
    x = 230,414,745.60/19,994.88
  6. Step 6: Final answer
    x = 11,523.69

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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.