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Finding the Fourth Proportional to 13,105, 19,654.44 and 3,744.80

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Solution

The fourth proportional to 13,105, 19,654.44 and 3,744.80 is: 5,616.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105 : 19,654.44 = 3,744.80 : x
  2. Step 2: Convert to fraction form
    13,105/19,654.44 = 3,744.80/x
  3. Step 3: Cross multiply
    13,105x = 19,654.44 × 3,744.80
  4. Step 4: Simplify right side
    13,105x = 73,601,946.91
  5. Step 5: Solve for x
    x = 73,601,946.91/13,105
  6. Step 6: Final answer
    x = 5,616.33

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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.