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Finding the Fourth Proportional to 11,991.88, 17,993.01 and 6,438.74

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Solution

The fourth proportional to 11,991.88, 17,993.01 and 6,438.74 is: 9,660.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,991.88 : 17,993.01 = 6,438.74 : x
  2. Step 2: Convert to fraction form
    11,991.88/17,993.01 = 6,438.74/x
  3. Step 3: Cross multiply
    11,991.88x = 17,993.01 × 6,438.74
  4. Step 4: Simplify right side
    11,991.88x = 115,852,313.21
  5. Step 5: Solve for x
    x = 115,852,313.21/11,991.88
  6. Step 6: Final answer
    x = 9,660.90

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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.