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Finding the Fourth Proportional to 11,912.74, 17,865.45 and 8,238.58

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Solution

The fourth proportional to 11,912.74, 17,865.45 and 8,238.58 is: 12,355.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,912.74 : 17,865.45 = 8,238.58 : x
  2. Step 2: Convert to fraction form
    11,912.74/17,865.45 = 8,238.58/x
  3. Step 3: Cross multiply
    11,912.74x = 17,865.45 × 8,238.58
  4. Step 4: Simplify right side
    11,912.74x = 147,185,939.06
  5. Step 5: Solve for x
    x = 147,185,939.06/11,912.74
  6. Step 6: Final answer
    x = 12,355.34

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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.