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Finding the Fourth Proportional to 3,992.90, 5,992.07 and 2,046.47

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Solution

The fourth proportional to 3,992.90, 5,992.07 and 2,046.47 is: 3,071.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.90 : 5,992.07 = 2,046.47 : x
  2. Step 2: Convert to fraction form
    3,992.90/5,992.07 = 2,046.47/x
  3. Step 3: Cross multiply
    3,992.90x = 5,992.07 × 2,046.47
  4. Step 4: Simplify right side
    3,992.90x = 12,262,551.30
  5. Step 5: Solve for x
    x = 12,262,551.30/3,992.90
  6. Step 6: Final answer
    x = 3,071.09

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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.