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Finding the Fourth Proportional to 11,481.75, 15,846.03 and 7,290

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Solution

The fourth proportional to 11,481.75, 15,846.03 and 7,290 is: 10,060.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,481.75 : 15,846.03 = 7,290 : x
  2. Step 2: Convert to fraction form
    11,481.75/15,846.03 = 7,290/x
  3. Step 3: Cross multiply
    11,481.75x = 15,846.03 × 7,290
  4. Step 4: Simplify right side
    11,481.75x = 115,517,558.70
  5. Step 5: Solve for x
    x = 115,517,558.70/11,481.75
  6. Step 6: Final answer
    x = 10,060.97

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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.