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Finding the Fourth Proportional to 9,087.60, 13,620.60 and 3,822.60

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Solution

The fourth proportional to 9,087.60, 13,620.60 and 3,822.60 is: 5,729.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,087.60 : 13,620.60 = 3,822.60 : x
  2. Step 2: Convert to fraction form
    9,087.60/13,620.60 = 3,822.60/x
  3. Step 3: Cross multiply
    9,087.60x = 13,620.60 × 3,822.60
  4. Step 4: Simplify right side
    9,087.60x = 52,066,105.56
  5. Step 5: Solve for x
    x = 52,066,105.56/9,087.60
  6. Step 6: Final answer
    x = 5,729.36

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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.