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Finding the Fourth Proportional to 12,181.46, 18,253.05 and 9,414.90

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Solution

The fourth proportional to 12,181.46, 18,253.05 and 9,414.90 is: 14,107.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.46 : 18,253.05 = 9,414.90 : x
  2. Step 2: Convert to fraction form
    12,181.46/18,253.05 = 9,414.90/x
  3. Step 3: Cross multiply
    12,181.46x = 18,253.05 × 9,414.90
  4. Step 4: Simplify right side
    12,181.46x = 171,850,605.14
  5. Step 5: Solve for x
    x = 171,850,605.14/12,181.46
  6. Step 6: Final answer
    x = 14,107.56

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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.