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Finding the Fourth Proportional to 11,874, 17,811.24 and 3,666

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Solution

The fourth proportional to 11,874, 17,811.24 and 3,666 is: 5,499.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874 : 17,811.24 = 3,666 : x
  2. Step 2: Convert to fraction form
    11,874/17,811.24 = 3,666/x
  3. Step 3: Cross multiply
    11,874x = 17,811.24 × 3,666
  4. Step 4: Simplify right side
    11,874x = 65,296,005.84
  5. Step 5: Solve for x
    x = 65,296,005.84/11,874
  6. Step 6: Final answer
    x = 5,499.07

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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.