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Finding the Fourth Proportional to 21,619, 29,834.26 and 11,683

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Solution

The fourth proportional to 21,619, 29,834.26 and 11,683 is: 16,122.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,619 : 29,834.26 = 11,683 : x
  2. Step 2: Convert to fraction form
    21,619/29,834.26 = 11,683/x
  3. Step 3: Cross multiply
    21,619x = 29,834.26 × 11,683
  4. Step 4: Simplify right side
    21,619x = 348,553,659.58
  5. Step 5: Solve for x
    x = 348,553,659.58/21,619
  6. Step 6: Final answer
    x = 16,122.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.