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Finding the Fourth Proportional to 18,406.11, 27,620.10 and 9,645.96

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Solution

The fourth proportional to 18,406.11, 27,620.10 and 9,645.96 is: 14,474.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,406.11 : 27,620.10 = 9,645.96 : x
  2. Step 2: Convert to fraction form
    18,406.11/27,620.10 = 9,645.96/x
  3. Step 3: Cross multiply
    18,406.11x = 27,620.10 × 9,645.96
  4. Step 4: Simplify right side
    18,406.11x = 266,422,379.80
  5. Step 5: Solve for x
    x = 266,422,379.80/18,406.11
  6. Step 6: Final answer
    x = 14,474.67

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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.