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Finding the Fourth Proportional to 11,981.08, 17,981.02 and 8,309.08

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Solution

The fourth proportional to 11,981.08, 17,981.02 and 8,309.08 is: 12,470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,981.08 : 17,981.02 = 8,309.08 : x
  2. Step 2: Convert to fraction form
    11,981.08/17,981.02 = 8,309.08/x
  3. Step 3: Cross multiply
    11,981.08x = 17,981.02 × 8,309.08
  4. Step 4: Simplify right side
    11,981.08x = 149,405,733.66
  5. Step 5: Solve for x
    x = 149,405,733.66/11,981.08
  6. Step 6: Final answer
    x = 12,470.14

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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.