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Finding the Fourth Proportional to 3,843.30, 5,752.80 and 3,721.80

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Solution

The fourth proportional to 3,843.30, 5,752.80 and 3,721.80 is: 5,570.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.30 : 5,752.80 = 3,721.80 : x
  2. Step 2: Convert to fraction form
    3,843.30/5,752.80 = 3,721.80/x
  3. Step 3: Cross multiply
    3,843.30x = 5,752.80 × 3,721.80
  4. Step 4: Simplify right side
    3,843.30x = 21,410,771.04
  5. Step 5: Solve for x
    x = 21,410,771.04/3,843.30
  6. Step 6: Final answer
    x = 5,570.93

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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.