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Finding the Fourth Proportional to 17,957.72, 26,947.31 and 7,427.85

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Solution

The fourth proportional to 17,957.72, 26,947.31 and 7,427.85 is: 11,146.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,957.72 : 26,947.31 = 7,427.85 : x
  2. Step 2: Convert to fraction form
    17,957.72/26,947.31 = 7,427.85/x
  3. Step 3: Cross multiply
    17,957.72x = 26,947.31 × 7,427.85
  4. Step 4: Simplify right side
    17,957.72x = 200,160,539.44
  5. Step 5: Solve for x
    x = 200,160,539.44/17,957.72
  6. Step 6: Final answer
    x = 11,146.21

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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.