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Finding the Fourth Proportional to 13,856.82, 20,743.20 and 8,929.98

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Solution

The fourth proportional to 13,856.82, 20,743.20 and 8,929.98 is: 13,367.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,856.82 : 20,743.20 = 8,929.98 : x
  2. Step 2: Convert to fraction form
    13,856.82/20,743.20 = 8,929.98/x
  3. Step 3: Cross multiply
    13,856.82x = 20,743.20 × 8,929.98
  4. Step 4: Simplify right side
    13,856.82x = 185,236,361.14
  5. Step 5: Solve for x
    x = 185,236,361.14/13,856.82
  6. Step 6: Final answer
    x = 13,367.88

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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.