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Finding the Fourth Proportional to 11,910.92, 17,865.10 and 4,891.67

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Solution

The fourth proportional to 11,910.92, 17,865.10 and 4,891.67 is: 7,336.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,910.92 : 17,865.10 = 4,891.67 : x
  2. Step 2: Convert to fraction form
    11,910.92/17,865.10 = 4,891.67/x
  3. Step 3: Cross multiply
    11,910.92x = 17,865.10 × 4,891.67
  4. Step 4: Simplify right side
    11,910.92x = 87,390,173.72
  5. Step 5: Solve for x
    x = 87,390,173.72/11,910.92
  6. Step 6: Final answer
    x = 7,336.98

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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.