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Finding the Fourth Proportional to 12,146.46, 18,224.97 and 4,254.65

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Solution

The fourth proportional to 12,146.46, 18,224.97 and 4,254.65 is: 6,383.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.46 : 18,224.97 = 4,254.65 : x
  2. Step 2: Convert to fraction form
    12,146.46/18,224.97 = 4,254.65/x
  3. Step 3: Cross multiply
    12,146.46x = 18,224.97 × 4,254.65
  4. Step 4: Simplify right side
    12,146.46x = 77,540,917.03
  5. Step 5: Solve for x
    x = 77,540,917.03/12,146.46
  6. Step 6: Final answer
    x = 6,383.83

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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.