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Finding the Fourth Proportional to 3,640.65, 5,461.52 and 1,449.33

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Solution

The fourth proportional to 3,640.65, 5,461.52 and 1,449.33 is: 2,174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.65 : 5,461.52 = 1,449.33 : x
  2. Step 2: Convert to fraction form
    3,640.65/5,461.52 = 1,449.33/x
  3. Step 3: Cross multiply
    3,640.65x = 5,461.52 × 1,449.33
  4. Step 4: Simplify right side
    3,640.65x = 7,915,537.53
  5. Step 5: Solve for x
    x = 7,915,537.53/3,640.65
  6. Step 6: Final answer
    x = 2,174.21

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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.