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Finding the Fourth Proportional to 13,769.38, 19,001.74 and 7,481.75

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Solution

The fourth proportional to 13,769.38, 19,001.74 and 7,481.75 is: 10,324.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,769.38 : 19,001.74 = 7,481.75 : x
  2. Step 2: Convert to fraction form
    13,769.38/19,001.74 = 7,481.75/x
  3. Step 3: Cross multiply
    13,769.38x = 19,001.74 × 7,481.75
  4. Step 4: Simplify right side
    13,769.38x = 142,166,268.25
  5. Step 5: Solve for x
    x = 142,166,268.25/13,769.38
  6. Step 6: Final answer
    x = 10,324.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.