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Finding the Fourth Proportional to 12,324.66, 17,016.39 and 7,611.54

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Solution

The fourth proportional to 12,324.66, 17,016.39 and 7,611.54 is: 10,509.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,324.66 : 17,016.39 = 7,611.54 : x
  2. Step 2: Convert to fraction form
    12,324.66/17,016.39 = 7,611.54/x
  3. Step 3: Cross multiply
    12,324.66x = 17,016.39 × 7,611.54
  4. Step 4: Simplify right side
    12,324.66x = 129,520,933.14
  5. Step 5: Solve for x
    x = 129,520,933.14/12,324.66
  6. Step 6: Final answer
    x = 10,509.09

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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.