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Finding the Fourth Proportional to 14,786.68, 20,406.22 and 8,072.76

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Solution

The fourth proportional to 14,786.68, 20,406.22 and 8,072.76 is: 11,140.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,786.68 : 20,406.22 = 8,072.76 : x
  2. Step 2: Convert to fraction form
    14,786.68/20,406.22 = 8,072.76/x
  3. Step 3: Cross multiply
    14,786.68x = 20,406.22 × 8,072.76
  4. Step 4: Simplify right side
    14,786.68x = 164,734,516.57
  5. Step 5: Solve for x
    x = 164,734,516.57/14,786.68
  6. Step 6: Final answer
    x = 11,140.74

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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.