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Finding the Fourth Proportional to 3,838.03, 5,754.30 and 1,645.56

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Solution

The fourth proportional to 3,838.03, 5,754.30 and 1,645.56 is: 2,467.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.03 : 5,754.30 = 1,645.56 : x
  2. Step 2: Convert to fraction form
    3,838.03/5,754.30 = 1,645.56/x
  3. Step 3: Cross multiply
    3,838.03x = 5,754.30 × 1,645.56
  4. Step 4: Simplify right side
    3,838.03x = 9,469,045.91
  5. Step 5: Solve for x
    x = 9,469,045.91/3,838.03
  6. Step 6: Final answer
    x = 2,467.16

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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.