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Finding the Fourth Proportional to 21,043.56, 31,568.34 and 9,793.48

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Solution

The fourth proportional to 21,043.56, 31,568.34 and 9,793.48 is: 14,691.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,043.56 : 31,568.34 = 9,793.48 : x
  2. Step 2: Convert to fraction form
    21,043.56/31,568.34 = 9,793.48/x
  3. Step 3: Cross multiply
    21,043.56x = 31,568.34 × 9,793.48
  4. Step 4: Simplify right side
    21,043.56x = 309,163,906.42
  5. Step 5: Solve for x
    x = 309,163,906.42/21,043.56
  6. Step 6: Final answer
    x = 14,691.62

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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.