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Finding the Fourth Proportional to 12,484.37, 17,229.44 and 7,769.36

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Solution

The fourth proportional to 12,484.37, 17,229.44 and 7,769.36 is: 10,722.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,484.37 : 17,229.44 = 7,769.36 : x
  2. Step 2: Convert to fraction form
    12,484.37/17,229.44 = 7,769.36/x
  3. Step 3: Cross multiply
    12,484.37x = 17,229.44 × 7,769.36
  4. Step 4: Simplify right side
    12,484.37x = 133,861,721.96
  5. Step 5: Solve for x
    x = 133,861,721.96/12,484.37
  6. Step 6: Final answer
    x = 10,722.34

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