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Finding the Fourth Proportional to 12,134.64, 18,202.36 and 3,369.64

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Solution

The fourth proportional to 12,134.64, 18,202.36 and 3,369.64 is: 5,054.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,134.64 : 18,202.36 = 3,369.64 : x
  2. Step 2: Convert to fraction form
    12,134.64/18,202.36 = 3,369.64/x
  3. Step 3: Cross multiply
    12,134.64x = 18,202.36 × 3,369.64
  4. Step 4: Simplify right side
    12,134.64x = 61,335,400.35
  5. Step 5: Solve for x
    x = 61,335,400.35/12,134.64
  6. Step 6: Final answer
    x = 5,054.57

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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.