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Finding the Fourth Proportional to 12,183, 18,274.60 and 3,862.84

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Solution

The fourth proportional to 12,183, 18,274.60 and 3,862.84 is: 5,794.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183 : 18,274.60 = 3,862.84 : x
  2. Step 2: Convert to fraction form
    12,183/18,274.60 = 3,862.84/x
  3. Step 3: Cross multiply
    12,183x = 18,274.60 × 3,862.84
  4. Step 4: Simplify right side
    12,183x = 70,591,855.86
  5. Step 5: Solve for x
    x = 70,591,855.86/12,183
  6. Step 6: Final answer
    x = 5,794.29

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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.