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Finding the Fourth Proportional to 14,553.62, 20,084.62 and 8,266

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Solution

The fourth proportional to 14,553.62, 20,084.62 and 8,266 is: 11,407.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,553.62 : 20,084.62 = 8,266 : x
  2. Step 2: Convert to fraction form
    14,553.62/20,084.62 = 8,266/x
  3. Step 3: Cross multiply
    14,553.62x = 20,084.62 × 8,266
  4. Step 4: Simplify right side
    14,553.62x = 166,019,468.92
  5. Step 5: Solve for x
    x = 166,019,468.92/14,553.62
  6. Step 6: Final answer
    x = 11,407.43

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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.