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Finding the Fourth Proportional to 21,684, 29,922.26 and 13,184.94

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Solution

The fourth proportional to 21,684, 29,922.26 and 13,184.94 is: 18,194.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,684 : 29,922.26 = 13,184.94 : x
  2. Step 2: Convert to fraction form
    21,684/29,922.26 = 13,184.94/x
  3. Step 3: Cross multiply
    21,684x = 29,922.26 × 13,184.94
  4. Step 4: Simplify right side
    21,684x = 394,523,136.84
  5. Step 5: Solve for x
    x = 394,523,136.84/21,684
  6. Step 6: Final answer
    x = 18,194.20

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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.