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Finding the Fourth Proportional to 21,672, 29,908.08 and 13,286.88

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Solution

The fourth proportional to 21,672, 29,908.08 and 13,286.88 is: 18,336.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,672 : 29,908.08 = 13,286.88 : x
  2. Step 2: Convert to fraction form
    21,672/29,908.08 = 13,286.88/x
  3. Step 3: Cross multiply
    21,672x = 29,908.08 × 13,286.88
  4. Step 4: Simplify right side
    21,672x = 397,385,069.99
  5. Step 5: Solve for x
    x = 397,385,069.99/21,672
  6. Step 6: Final answer
    x = 18,336.34

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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.