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Finding the Fourth Proportional to 3,899.37, 5,843.88 and 1,705.71

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Solution

The fourth proportional to 3,899.37, 5,843.88 and 1,705.71 is: 2,556.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.37 : 5,843.88 = 1,705.71 : x
  2. Step 2: Convert to fraction form
    3,899.37/5,843.88 = 1,705.71/x
  3. Step 3: Cross multiply
    3,899.37x = 5,843.88 × 1,705.71
  4. Step 4: Simplify right side
    3,899.37x = 9,967,964.55
  5. Step 5: Solve for x
    x = 9,967,964.55/3,899.37
  6. Step 6: Final answer
    x = 2,556.30

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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.