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Finding the Fourth Proportional to 11,869, 17,806.38 and 3,661

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Solution

The fourth proportional to 11,869, 17,806.38 and 3,661 is: 5,492.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,869 : 17,806.38 = 3,661 : x
  2. Step 2: Convert to fraction form
    11,869/17,806.38 = 3,661/x
  3. Step 3: Cross multiply
    11,869x = 17,806.38 × 3,661
  4. Step 4: Simplify right side
    11,869x = 65,189,157.18
  5. Step 5: Solve for x
    x = 65,189,157.18/11,869
  6. Step 6: Final answer
    x = 5,492.39

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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.