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Finding the Fourth Proportional to 12,193.63, 18,289.11 and 8,270.09

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Solution

The fourth proportional to 12,193.63, 18,289.11 and 8,270.09 is: 12,404.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.63 : 18,289.11 = 8,270.09 : x
  2. Step 2: Convert to fraction form
    12,193.63/18,289.11 = 8,270.09/x
  3. Step 3: Cross multiply
    12,193.63x = 18,289.11 × 8,270.09
  4. Step 4: Simplify right side
    12,193.63x = 151,252,585.72
  5. Step 5: Solve for x
    x = 151,252,585.72/12,193.63
  6. Step 6: Final answer
    x = 12,404.23

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1.5x scale

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.