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Finding the Fourth Proportional to 14,469.11, 19,961.49 and 9,431.56

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Solution

The fourth proportional to 14,469.11, 19,961.49 and 9,431.56 is: 13,011.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,469.11 : 19,961.49 = 9,431.56 : x
  2. Step 2: Convert to fraction form
    14,469.11/19,961.49 = 9,431.56/x
  3. Step 3: Cross multiply
    14,469.11x = 19,961.49 × 9,431.56
  4. Step 4: Simplify right side
    14,469.11x = 188,267,990.62
  5. Step 5: Solve for x
    x = 188,267,990.62/14,469.11
  6. Step 6: Final answer
    x = 13,011.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.