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Finding the Fourth Proportional to 12,138, 18,207.72 and 3,930

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Solution

The fourth proportional to 12,138, 18,207.72 and 3,930 is: 5,895.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138 : 18,207.72 = 3,930 : x
  2. Step 2: Convert to fraction form
    12,138/18,207.72 = 3,930/x
  3. Step 3: Cross multiply
    12,138x = 18,207.72 × 3,930
  4. Step 4: Simplify right side
    12,138x = 71,556,339.60
  5. Step 5: Solve for x
    x = 71,556,339.60/12,138
  6. Step 6: Final answer
    x = 5,895.23

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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.