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Finding the Fourth Proportional to 20,614.66, 30,922.08 and 8,765.38

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Solution

The fourth proportional to 20,614.66, 30,922.08 and 8,765.38 is: 13,148.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,614.66 : 30,922.08 = 8,765.38 : x
  2. Step 2: Convert to fraction form
    20,614.66/30,922.08 = 8,765.38/x
  3. Step 3: Cross multiply
    20,614.66x = 30,922.08 × 8,765.38
  4. Step 4: Simplify right side
    20,614.66x = 271,043,781.59
  5. Step 5: Solve for x
    x = 271,043,781.59/20,614.66
  6. Step 6: Final answer
    x = 13,148.11

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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.