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Finding the Fourth Proportional to 11,984.02, 17,969.16 and 3,661.72

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Solution

The fourth proportional to 11,984.02, 17,969.16 and 3,661.72 is: 5,490.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,984.02 : 17,969.16 = 3,661.72 : x
  2. Step 2: Convert to fraction form
    11,984.02/17,969.16 = 3,661.72/x
  3. Step 3: Cross multiply
    11,984.02x = 17,969.16 × 3,661.72
  4. Step 4: Simplify right side
    11,984.02x = 65,798,032.56
  5. Step 5: Solve for x
    x = 65,798,032.56/11,984.02
  6. Step 6: Final answer
    x = 5,490.48

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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.