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Finding the Fourth Proportional to 11,991.12, 17,991.86 and 6,437.98

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Solution

The fourth proportional to 11,991.12, 17,991.86 and 6,437.98 is: 9,659.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,991.12 : 17,991.86 = 6,437.98 : x
  2. Step 2: Convert to fraction form
    11,991.12/17,991.86 = 6,437.98/x
  3. Step 3: Cross multiply
    11,991.12x = 17,991.86 × 6,437.98
  4. Step 4: Simplify right side
    11,991.12x = 115,831,279.46
  5. Step 5: Solve for x
    x = 115,831,279.46/11,991.12
  6. Step 6: Final answer
    x = 9,659.75

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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.