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Finding the Fourth Proportional to 13,666.20, 20,511.44 and 7,096.92

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Solution

The fourth proportional to 13,666.20, 20,511.44 and 7,096.92 is: 10,651.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,666.20 : 20,511.44 = 7,096.92 : x
  2. Step 2: Convert to fraction form
    13,666.20/20,511.44 = 7,096.92/x
  3. Step 3: Cross multiply
    13,666.20x = 20,511.44 × 7,096.92
  4. Step 4: Simplify right side
    13,666.20x = 145,568,048.76
  5. Step 5: Solve for x
    x = 145,568,048.76/13,666.20
  6. Step 6: Final answer
    x = 10,651.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.