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Finding the Fourth Proportional to 21,121, 29,120.46 and 13,553.98

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Solution

The fourth proportional to 21,121, 29,120.46 and 13,553.98 is: 18,687.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,121 : 29,120.46 = 13,553.98 : x
  2. Step 2: Convert to fraction form
    21,121/29,120.46 = 13,553.98/x
  3. Step 3: Cross multiply
    21,121x = 29,120.46 × 13,553.98
  4. Step 4: Simplify right side
    21,121x = 394,698,132.43
  5. Step 5: Solve for x
    x = 394,698,132.43/21,121
  6. Step 6: Final answer
    x = 18,687.47

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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.