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Finding the Fourth Proportional to 11,992.86, 17,991.72 and 4,202.28

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Solution

The fourth proportional to 11,992.86, 17,991.72 and 4,202.28 is: 6,304.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,992.86 : 17,991.72 = 4,202.28 : x
  2. Step 2: Convert to fraction form
    11,992.86/17,991.72 = 4,202.28/x
  3. Step 3: Cross multiply
    11,992.86x = 17,991.72 × 4,202.28
  4. Step 4: Simplify right side
    11,992.86x = 75,606,245.12
  5. Step 5: Solve for x
    x = 75,606,245.12/11,992.86
  6. Step 6: Final answer
    x = 6,304.27

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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.