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Finding the Fourth Proportional to 11,873, 17,809.74 and 3,665

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Solution

The fourth proportional to 11,873, 17,809.74 and 3,665 is: 5,497.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,873 : 17,809.74 = 3,665 : x
  2. Step 2: Convert to fraction form
    11,873/17,809.74 = 3,665/x
  3. Step 3: Cross multiply
    11,873x = 17,809.74 × 3,665
  4. Step 4: Simplify right side
    11,873x = 65,272,697.10
  5. Step 5: Solve for x
    x = 65,272,697.10/11,873
  6. Step 6: Final answer
    x = 5,497.57

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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.