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Finding the Fourth Proportional to 19,687.86, 29,522.07 and 7,198.47

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Solution

The fourth proportional to 19,687.86, 29,522.07 and 7,198.47 is: 10,794.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,687.86 : 29,522.07 = 7,198.47 : x
  2. Step 2: Convert to fraction form
    19,687.86/29,522.07 = 7,198.47/x
  3. Step 3: Cross multiply
    19,687.86x = 29,522.07 × 7,198.47
  4. Step 4: Simplify right side
    19,687.86x = 212,513,735.23
  5. Step 5: Solve for x
    x = 212,513,735.23/19,687.86
  6. Step 6: Final answer
    x = 10,794.15

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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.