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Finding the Fourth Proportional to 11,989.62, 17,983.62 and 3,223.80

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Solution

The fourth proportional to 11,989.62, 17,983.62 and 3,223.80 is: 4,835.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,989.62 : 17,983.62 = 3,223.80 : x
  2. Step 2: Convert to fraction form
    11,989.62/17,983.62 = 3,223.80/x
  3. Step 3: Cross multiply
    11,989.62x = 17,983.62 × 3,223.80
  4. Step 4: Simplify right side
    11,989.62x = 57,975,594.16
  5. Step 5: Solve for x
    x = 57,975,594.16/11,989.62
  6. Step 6: Final answer
    x = 4,835.48

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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.