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Finding the Fourth Proportional to 12,661.74, 18,990.96 and 3,896.46

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Solution

The fourth proportional to 12,661.74, 18,990.96 and 3,896.46 is: 5,844.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,661.74 : 18,990.96 = 3,896.46 : x
  2. Step 2: Convert to fraction form
    12,661.74/18,990.96 = 3,896.46/x
  3. Step 3: Cross multiply
    12,661.74x = 18,990.96 × 3,896.46
  4. Step 4: Simplify right side
    12,661.74x = 73,997,516.00
  5. Step 5: Solve for x
    x = 73,997,516.00/12,661.74
  6. Step 6: Final answer
    x = 5,844.18

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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.