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Finding the Fourth Proportional to 9,086.64, 13,622.60 and 3,239.60

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Solution

The fourth proportional to 9,086.64, 13,622.60 and 3,239.60 is: 4,856.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,086.64 : 13,622.60 = 3,239.60 : x
  2. Step 2: Convert to fraction form
    9,086.64/13,622.60 = 3,239.60/x
  3. Step 3: Cross multiply
    9,086.64x = 13,622.60 × 3,239.60
  4. Step 4: Simplify right side
    9,086.64x = 44,131,774.96
  5. Step 5: Solve for x
    x = 44,131,774.96/9,086.64
  6. Step 6: Final answer
    x = 4,856.78

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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.