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Finding the Fourth Proportional to 11,806.74, 17,711.46 and 3,910.30

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Solution

The fourth proportional to 11,806.74, 17,711.46 and 3,910.30 is: 5,865.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.74 : 17,711.46 = 3,910.30 : x
  2. Step 2: Convert to fraction form
    11,806.74/17,711.46 = 3,910.30/x
  3. Step 3: Cross multiply
    11,806.74x = 17,711.46 × 3,910.30
  4. Step 4: Simplify right side
    11,806.74x = 69,257,077.76
  5. Step 5: Solve for x
    x = 69,257,077.76/11,806.74
  6. Step 6: Final answer
    x = 5,865.89

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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.