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Finding the Fourth Proportional to 11,770.92, 17,658.81 and 3,980.34

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Solution

The fourth proportional to 11,770.92, 17,658.81 and 3,980.34 is: 5,971.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.92 : 17,658.81 = 3,980.34 : x
  2. Step 2: Convert to fraction form
    11,770.92/17,658.81 = 3,980.34/x
  3. Step 3: Cross multiply
    11,770.92x = 17,658.81 × 3,980.34
  4. Step 4: Simplify right side
    11,770.92x = 70,288,067.80
  5. Step 5: Solve for x
    x = 70,288,067.80/11,770.92
  6. Step 6: Final answer
    x = 5,971.33

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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.