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Finding the Fourth Proportional to 11,923.03, 16,456.80 and 8,147.71

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Solution

The fourth proportional to 11,923.03, 16,456.80 and 8,147.71 is: 11,245.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,923.03 : 16,456.80 = 8,147.71 : x
  2. Step 2: Convert to fraction form
    11,923.03/16,456.80 = 8,147.71/x
  3. Step 3: Cross multiply
    11,923.03x = 16,456.80 × 8,147.71
  4. Step 4: Simplify right side
    11,923.03x = 134,085,233.93
  5. Step 5: Solve for x
    x = 134,085,233.93/11,923.03
  6. Step 6: Final answer
    x = 11,245.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.