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Finding the Fourth Proportional to 11,991.24, 17,993.88 and 6,738.12

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Solution

The fourth proportional to 11,991.24, 17,993.88 and 6,738.12 is: 10,111.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,991.24 : 17,993.88 = 6,738.12 : x
  2. Step 2: Convert to fraction form
    11,991.24/17,993.88 = 6,738.12/x
  3. Step 3: Cross multiply
    11,991.24x = 17,993.88 × 6,738.12
  4. Step 4: Simplify right side
    11,991.24x = 121,244,922.71
  5. Step 5: Solve for x
    x = 121,244,922.71/11,991.24
  6. Step 6: Final answer
    x = 10,111.12

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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.