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Finding the Fourth Proportional to 11,969.39, 17,954.06 and 3,649.48

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Solution

The fourth proportional to 11,969.39, 17,954.06 and 3,649.48 is: 5,474.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.39 : 17,954.06 = 3,649.48 : x
  2. Step 2: Convert to fraction form
    11,969.39/17,954.06 = 3,649.48/x
  3. Step 3: Cross multiply
    11,969.39x = 17,954.06 × 3,649.48
  4. Step 4: Simplify right side
    11,969.39x = 65,522,919.76
  5. Step 5: Solve for x
    x = 65,522,919.76/11,969.39
  6. Step 6: Final answer
    x = 5,474.21

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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.