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Finding the Fourth Proportional to 19,794.78, 29,691.81 and 7,953.75

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Solution

The fourth proportional to 19,794.78, 29,691.81 and 7,953.75 is: 11,930.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,794.78 : 29,691.81 = 7,953.75 : x
  2. Step 2: Convert to fraction form
    19,794.78/29,691.81 = 7,953.75/x
  3. Step 3: Cross multiply
    19,794.78x = 29,691.81 × 7,953.75
  4. Step 4: Simplify right side
    19,794.78x = 236,161,233.79
  5. Step 5: Solve for x
    x = 236,161,233.79/19,794.78
  6. Step 6: Final answer
    x = 11,930.48

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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.