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Finding the Fourth Proportional to 12,198.67, 18,188.68 and 11,977.24

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Solution

The fourth proportional to 12,198.67, 18,188.68 and 11,977.24 is: 17,858.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.67 : 18,188.68 = 11,977.24 : x
  2. Step 2: Convert to fraction form
    12,198.67/18,188.68 = 11,977.24/x
  3. Step 3: Cross multiply
    12,198.67x = 18,188.68 × 11,977.24
  4. Step 4: Simplify right side
    12,198.67x = 217,850,185.64
  5. Step 5: Solve for x
    x = 217,850,185.64/12,198.67
  6. Step 6: Final answer
    x = 17,858.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.