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Finding the Fourth Proportional to 14,631, 20,190.78 and 8,007

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Solution

The fourth proportional to 14,631, 20,190.78 and 8,007 is: 11,049.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,631 : 20,190.78 = 8,007 : x
  2. Step 2: Convert to fraction form
    14,631/20,190.78 = 8,007/x
  3. Step 3: Cross multiply
    14,631x = 20,190.78 × 8,007
  4. Step 4: Simplify right side
    14,631x = 161,667,575.46
  5. Step 5: Solve for x
    x = 161,667,575.46/14,631
  6. Step 6: Final answer
    x = 11,049.66

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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.