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Finding the Fourth Proportional to 14,771, 20,383.98 and 8,147

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Solution

The fourth proportional to 14,771, 20,383.98 and 8,147 is: 11,242.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,771 : 20,383.98 = 8,147 : x
  2. Step 2: Convert to fraction form
    14,771/20,383.98 = 8,147/x
  3. Step 3: Cross multiply
    14,771x = 20,383.98 × 8,147
  4. Step 4: Simplify right side
    14,771x = 166,068,285.06
  5. Step 5: Solve for x
    x = 166,068,285.06/14,771
  6. Step 6: Final answer
    x = 11,242.86

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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.