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Finding the Fourth Proportional to 14,829.54, 20,464.61 and 8,115.09

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Solution

The fourth proportional to 14,829.54, 20,464.61 and 8,115.09 is: 11,198.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,829.54 : 20,464.61 = 8,115.09 : x
  2. Step 2: Convert to fraction form
    14,829.54/20,464.61 = 8,115.09/x
  3. Step 3: Cross multiply
    14,829.54x = 20,464.61 × 8,115.09
  4. Step 4: Simplify right side
    14,829.54x = 166,072,151.96
  5. Step 5: Solve for x
    x = 166,072,151.96/14,829.54
  6. Step 6: Final answer
    x = 11,198.74

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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.