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Finding the Fourth Proportional to 3,843.65, 5,763.08 and 1,764.28

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Solution

The fourth proportional to 3,843.65, 5,763.08 and 1,764.28 is: 2,645.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.65 : 5,763.08 = 1,764.28 : x
  2. Step 2: Convert to fraction form
    3,843.65/5,763.08 = 1,764.28/x
  3. Step 3: Cross multiply
    3,843.65x = 5,763.08 × 1,764.28
  4. Step 4: Simplify right side
    3,843.65x = 10,167,698.40
  5. Step 5: Solve for x
    x = 10,167,698.40/3,843.65
  6. Step 6: Final answer
    x = 2,645.32

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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.