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Finding the Fourth Proportional to 7,662.18, 11,486.69 and 2,663.90

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Solution

The fourth proportional to 7,662.18, 11,486.69 and 2,663.90 is: 3,993.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.18 : 11,486.69 = 2,663.90 : x
  2. Step 2: Convert to fraction form
    7,662.18/11,486.69 = 2,663.90/x
  3. Step 3: Cross multiply
    7,662.18x = 11,486.69 × 2,663.90
  4. Step 4: Simplify right side
    7,662.18x = 30,599,380.17
  5. Step 5: Solve for x
    x = 30,599,380.17/7,662.18
  6. Step 6: Final answer
    x = 3,993.56

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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.