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Finding the Fourth Proportional to 13,198, 19,772.28 and 6,616.48

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Solution

The fourth proportional to 13,198, 19,772.28 and 6,616.48 is: 9,912.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198 : 19,772.28 = 6,616.48 : x
  2. Step 2: Convert to fraction form
    13,198/19,772.28 = 6,616.48/x
  3. Step 3: Cross multiply
    13,198x = 19,772.28 × 6,616.48
  4. Step 4: Simplify right side
    13,198x = 130,822,895.17
  5. Step 5: Solve for x
    x = 130,822,895.17/13,198
  6. Step 6: Final answer
    x = 9,912.33

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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.