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Finding the Fourth Proportional to 21,736, 29,997.18 and 12,304.60

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Solution

The fourth proportional to 21,736, 29,997.18 and 12,304.60 is: 16,981.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,736 : 29,997.18 = 12,304.60 : x
  2. Step 2: Convert to fraction form
    21,736/29,997.18 = 12,304.60/x
  3. Step 3: Cross multiply
    21,736x = 29,997.18 × 12,304.60
  4. Step 4: Simplify right side
    21,736x = 369,103,301.03
  5. Step 5: Solve for x
    x = 369,103,301.03/21,736
  6. Step 6: Final answer
    x = 16,981.20

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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.