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Finding the Fourth Proportional to 19,542, 29,321.49 and 7,699.38

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Solution

The fourth proportional to 19,542, 29,321.49 and 7,699.38 is: 11,552.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,542 : 29,321.49 = 7,699.38 : x
  2. Step 2: Convert to fraction form
    19,542/29,321.49 = 7,699.38/x
  3. Step 3: Cross multiply
    19,542x = 29,321.49 × 7,699.38
  4. Step 4: Simplify right side
    19,542x = 225,757,293.68
  5. Step 5: Solve for x
    x = 225,757,293.68/19,542
  6. Step 6: Final answer
    x = 11,552.41

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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.