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Finding the Fourth Proportional to 3,863, 5,744.80 and 3,739.98

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Solution

The fourth proportional to 3,863, 5,744.80 and 3,739.98 is: 5,561.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863 : 5,744.80 = 3,739.98 : x
  2. Step 2: Convert to fraction form
    3,863/5,744.80 = 3,739.98/x
  3. Step 3: Cross multiply
    3,863x = 5,744.80 × 3,739.98
  4. Step 4: Simplify right side
    3,863x = 21,485,437.10
  5. Step 5: Solve for x
    x = 21,485,437.10/3,863
  6. Step 6: Final answer
    x = 5,561.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.