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Finding the Fourth Proportional to 3,469.65, 5,205.30 and 1,129.67

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Solution

The fourth proportional to 3,469.65, 5,205.30 and 1,129.67 is: 1,694.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.65 : 5,205.30 = 1,129.67 : x
  2. Step 2: Convert to fraction form
    3,469.65/5,205.30 = 1,129.67/x
  3. Step 3: Cross multiply
    3,469.65x = 5,205.30 × 1,129.67
  4. Step 4: Simplify right side
    3,469.65x = 5,880,245.22
  5. Step 5: Solve for x
    x = 5,880,245.22/3,469.65
  6. Step 6: Final answer
    x = 1,694.77

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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.