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Finding the Fourth Proportional to 8,369.69, 12,546.36 and 3,985.97

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Solution

The fourth proportional to 8,369.69, 12,546.36 and 3,985.97 is: 5,975.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369.69 : 12,546.36 = 3,985.97 : x
  2. Step 2: Convert to fraction form
    8,369.69/12,546.36 = 3,985.97/x
  3. Step 3: Cross multiply
    8,369.69x = 12,546.36 × 3,985.97
  4. Step 4: Simplify right side
    8,369.69x = 50,009,414.57
  5. Step 5: Solve for x
    x = 50,009,414.57/8,369.69
  6. Step 6: Final answer
    x = 5,975.06

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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.