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Finding the Fourth Proportional to 13,204, 19,781.28 and 6,622.48

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Solution

The fourth proportional to 13,204, 19,781.28 and 6,622.48 is: 9,921.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204 : 19,781.28 = 6,622.48 : x
  2. Step 2: Convert to fraction form
    13,204/19,781.28 = 6,622.48/x
  3. Step 3: Cross multiply
    13,204x = 19,781.28 × 6,622.48
  4. Step 4: Simplify right side
    13,204x = 131,001,131.17
  5. Step 5: Solve for x
    x = 131,001,131.17/13,204
  6. Step 6: Final answer
    x = 9,921.32

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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.