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Finding the Fourth Proportional to 1,986.86, 2,982.09 and 1,659.83

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Solution

The fourth proportional to 1,986.86, 2,982.09 and 1,659.83 is: 2,491.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.86 : 2,982.09 = 1,659.83 : x
  2. Step 2: Convert to fraction form
    1,986.86/2,982.09 = 1,659.83/x
  3. Step 3: Cross multiply
    1,986.86x = 2,982.09 × 1,659.83
  4. Step 4: Simplify right side
    1,986.86x = 4,949,762.44
  5. Step 5: Solve for x
    x = 4,949,762.44/1,986.86
  6. Step 6: Final answer
    x = 2,491.25

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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.