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Finding the Fourth Proportional to 19,838.72, 29,759.62 and 6,691.09

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Solution

The fourth proportional to 19,838.72, 29,759.62 and 6,691.09 is: 10,037.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,838.72 : 29,759.62 = 6,691.09 : x
  2. Step 2: Convert to fraction form
    19,838.72/29,759.62 = 6,691.09/x
  3. Step 3: Cross multiply
    19,838.72x = 29,759.62 × 6,691.09
  4. Step 4: Simplify right side
    19,838.72x = 199,124,295.79
  5. Step 5: Solve for x
    x = 199,124,295.79/19,838.72
  6. Step 6: Final answer
    x = 10,037.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.