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Finding the Fourth Proportional to 11,367, 15,686.46 and 6,399

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Solution

The fourth proportional to 11,367, 15,686.46 and 6,399 is: 8,830.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,367 : 15,686.46 = 6,399 : x
  2. Step 2: Convert to fraction form
    11,367/15,686.46 = 6,399/x
  3. Step 3: Cross multiply
    11,367x = 15,686.46 × 6,399
  4. Step 4: Simplify right side
    11,367x = 100,377,657.54
  5. Step 5: Solve for x
    x = 100,377,657.54/11,367
  6. Step 6: Final answer
    x = 8,830.62

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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.