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Finding the Fourth Proportional to 11,917.86, 17,873.13 and 8,243.70

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Solution

The fourth proportional to 11,917.86, 17,873.13 and 8,243.70 is: 12,363.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,917.86 : 17,873.13 = 8,243.70 : x
  2. Step 2: Convert to fraction form
    11,917.86/17,873.13 = 8,243.70/x
  3. Step 3: Cross multiply
    11,917.86x = 17,873.13 × 8,243.70
  4. Step 4: Simplify right side
    11,917.86x = 147,340,721.78
  5. Step 5: Solve for x
    x = 147,340,721.78/11,917.86
  6. Step 6: Final answer
    x = 12,363.02

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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.