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Finding the Fourth Proportional to 2,408.64, 3,611.68 and 1,109

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Solution

The fourth proportional to 2,408.64, 3,611.68 and 1,109 is: 1,662.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.64 : 3,611.68 = 1,109 : x
  2. Step 2: Convert to fraction form
    2,408.64/3,611.68 = 1,109/x
  3. Step 3: Cross multiply
    2,408.64x = 3,611.68 × 1,109
  4. Step 4: Simplify right side
    2,408.64x = 4,005,353.12
  5. Step 5: Solve for x
    x = 4,005,353.12/2,408.64
  6. Step 6: Final answer
    x = 1,662.91

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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.