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Finding the Fourth Proportional to 11,817.48, 17,717.49 and 3,917.13

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Solution

The fourth proportional to 11,817.48, 17,717.49 and 3,917.13 is: 5,872.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.48 : 17,717.49 = 3,917.13 : x
  2. Step 2: Convert to fraction form
    11,817.48/17,717.49 = 3,917.13/x
  3. Step 3: Cross multiply
    11,817.48x = 17,717.49 × 3,917.13
  4. Step 4: Simplify right side
    11,817.48x = 69,401,711.60
  5. Step 5: Solve for x
    x = 69,401,711.60/11,817.48
  6. Step 6: Final answer
    x = 5,872.80

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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.