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Finding the Fourth Proportional to 12,114, 18,173.70 and 5,540.45

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Solution

The fourth proportional to 12,114, 18,173.70 and 5,540.45 is: 8,311.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114 : 18,173.70 = 5,540.45 : x
  2. Step 2: Convert to fraction form
    12,114/18,173.70 = 5,540.45/x
  3. Step 3: Cross multiply
    12,114x = 18,173.70 × 5,540.45
  4. Step 4: Simplify right side
    12,114x = 100,690,385.30
  5. Step 5: Solve for x
    x = 100,690,385.30/12,114
  6. Step 6: Final answer
    x = 8,311.90

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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.