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Finding the Fourth Proportional to 11,991.66, 17,981.61 and 4,199.34

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Solution

The fourth proportional to 11,991.66, 17,981.61 and 4,199.34 is: 6,296.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,991.66 : 17,981.61 = 4,199.34 : x
  2. Step 2: Convert to fraction form
    11,991.66/17,981.61 = 4,199.34/x
  3. Step 3: Cross multiply
    11,991.66x = 17,981.61 × 4,199.34
  4. Step 4: Simplify right side
    11,991.66x = 75,510,894.14
  5. Step 5: Solve for x
    x = 75,510,894.14/11,991.66
  6. Step 6: Final answer
    x = 6,296.95

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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.