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Finding the Fourth Proportional to 12,087.60, 18,138 and 5,072.48

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Solution

The fourth proportional to 12,087.60, 18,138 and 5,072.48 is: 7,611.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,087.60 : 18,138 = 5,072.48 : x
  2. Step 2: Convert to fraction form
    12,087.60/18,138 = 5,072.48/x
  3. Step 3: Cross multiply
    12,087.60x = 18,138 × 5,072.48
  4. Step 4: Simplify right side
    12,087.60x = 92,004,642.24
  5. Step 5: Solve for x
    x = 92,004,642.24/12,087.60
  6. Step 6: Final answer
    x = 7,611.49

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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.