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Finding the Fourth Proportional to 11,464.57, 17,195.64 and 8,118.87

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Solution

The fourth proportional to 11,464.57, 17,195.64 and 8,118.87 is: 12,177.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.57 : 17,195.64 = 8,118.87 : x
  2. Step 2: Convert to fraction form
    11,464.57/17,195.64 = 8,118.87/x
  3. Step 3: Cross multiply
    11,464.57x = 17,195.64 × 8,118.87
  4. Step 4: Simplify right side
    11,464.57x = 139,609,165.73
  5. Step 5: Solve for x
    x = 139,609,165.73/11,464.57
  6. Step 6: Final answer
    x = 12,177.44

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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.