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Finding the Fourth Proportional to 9,270, 13,906.44 and 3,115.44

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Solution

The fourth proportional to 9,270, 13,906.44 and 3,115.44 is: 4,673.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,270 : 13,906.44 = 3,115.44 : x
  2. Step 2: Convert to fraction form
    9,270/13,906.44 = 3,115.44/x
  3. Step 3: Cross multiply
    9,270x = 13,906.44 × 3,115.44
  4. Step 4: Simplify right side
    9,270x = 43,324,679.43
  5. Step 5: Solve for x
    x = 43,324,679.43/9,270
  6. Step 6: Final answer
    x = 4,673.64

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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.