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Finding the Fourth Proportional to 1,992.92, 2,986.14 and 1,579.82

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Solution

The fourth proportional to 1,992.92, 2,986.14 and 1,579.82 is: 2,367.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.92 : 2,986.14 = 1,579.82 : x
  2. Step 2: Convert to fraction form
    1,992.92/2,986.14 = 1,579.82/x
  3. Step 3: Cross multiply
    1,992.92x = 2,986.14 × 1,579.82
  4. Step 4: Simplify right side
    1,992.92x = 4,717,563.69
  5. Step 5: Solve for x
    x = 4,717,563.69/1,992.92
  6. Step 6: Final answer
    x = 2,367.16

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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.