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Finding the Fourth Proportional to 3,661, 5,492.19 and 1,469.90

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Solution

The fourth proportional to 3,661, 5,492.19 and 1,469.90 is: 2,205.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661 : 5,492.19 = 1,469.90 : x
  2. Step 2: Convert to fraction form
    3,661/5,492.19 = 1,469.90/x
  3. Step 3: Cross multiply
    3,661x = 5,492.19 × 1,469.90
  4. Step 4: Simplify right side
    3,661x = 8,072,970.08
  5. Step 5: Solve for x
    x = 8,072,970.08/3,661
  6. Step 6: Final answer
    x = 2,205.13

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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.