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Finding the Fourth Proportional to 3,745.71, 5,620.79 and 1,990.65

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Solution

The fourth proportional to 3,745.71, 5,620.79 and 1,990.65 is: 2,987.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.71 : 5,620.79 = 1,990.65 : x
  2. Step 2: Convert to fraction form
    3,745.71/5,620.79 = 1,990.65/x
  3. Step 3: Cross multiply
    3,745.71x = 5,620.79 × 1,990.65
  4. Step 4: Simplify right side
    3,745.71x = 11,189,015.66
  5. Step 5: Solve for x
    x = 11,189,015.66/3,745.71
  6. Step 6: Final answer
    x = 2,987.15

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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.