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Finding the Fourth Proportional to 11,935.81, 17,897.56 and 8,193.31

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Solution

The fourth proportional to 11,935.81, 17,897.56 and 8,193.31 is: 12,285.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,935.81 : 17,897.56 = 8,193.31 : x
  2. Step 2: Convert to fraction form
    11,935.81/17,897.56 = 8,193.31/x
  3. Step 3: Cross multiply
    11,935.81x = 17,897.56 × 8,193.31
  4. Step 4: Simplify right side
    11,935.81x = 146,640,257.32
  5. Step 5: Solve for x
    x = 146,640,257.32/11,935.81
  6. Step 6: Final answer
    x = 12,285.74

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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.