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Finding the Fourth Proportional to 11,993.06, 17,982.80 and 8,249.24

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Solution

The fourth proportional to 11,993.06, 17,982.80 and 8,249.24 is: 12,369.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.06 : 17,982.80 = 8,249.24 : x
  2. Step 2: Convert to fraction form
    11,993.06/17,982.80 = 8,249.24/x
  3. Step 3: Cross multiply
    11,993.06x = 17,982.80 × 8,249.24
  4. Step 4: Simplify right side
    11,993.06x = 148,344,433.07
  5. Step 5: Solve for x
    x = 148,344,433.07/11,993.06
  6. Step 6: Final answer
    x = 12,369.19

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1.5x scale

Why These Related Problems?

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