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Finding the Fourth Proportional to 21,138.34, 31,680.02 and 8,644.08

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Solution

The fourth proportional to 21,138.34, 31,680.02 and 8,644.08 is: 12,954.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,138.34 : 31,680.02 = 8,644.08 : x
  2. Step 2: Convert to fraction form
    21,138.34/31,680.02 = 8,644.08/x
  3. Step 3: Cross multiply
    21,138.34x = 31,680.02 × 8,644.08
  4. Step 4: Simplify right side
    21,138.34x = 273,844,627.28
  5. Step 5: Solve for x
    x = 273,844,627.28/21,138.34
  6. Step 6: Final answer
    x = 12,954.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.