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Finding the Fourth Proportional to 21,114.46, 29,137.98 and 11,683

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Solution

The fourth proportional to 21,114.46, 29,137.98 and 11,683 is: 16,122.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,114.46 : 29,137.98 = 11,683 : x
  2. Step 2: Convert to fraction form
    21,114.46/29,137.98 = 11,683/x
  3. Step 3: Cross multiply
    21,114.46x = 29,137.98 × 11,683
  4. Step 4: Simplify right side
    21,114.46x = 340,419,020.34
  5. Step 5: Solve for x
    x = 340,419,020.34/21,114.46
  6. Step 6: Final answer
    x = 16,122.55

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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.