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Finding the Fourth Proportional to 11,993.05, 17,991.08 and 6,438.76

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Solution

The fourth proportional to 11,993.05, 17,991.08 and 6,438.76 is: 9,658.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.05 : 17,991.08 = 6,438.76 : x
  2. Step 2: Convert to fraction form
    11,993.05/17,991.08 = 6,438.76/x
  3. Step 3: Cross multiply
    11,993.05x = 17,991.08 × 6,438.76
  4. Step 4: Simplify right side
    11,993.05x = 115,840,124.11
  5. Step 5: Solve for x
    x = 115,840,124.11/11,993.05
  6. Step 6: Final answer
    x = 9,658.94

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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.