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Finding the Fourth Proportional to 1,997.85, 2,992.42 and 1,647.25

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Solution

The fourth proportional to 1,997.85, 2,992.42 and 1,647.25 is: 2,467.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.85 : 2,992.42 = 1,647.25 : x
  2. Step 2: Convert to fraction form
    1,997.85/2,992.42 = 1,647.25/x
  3. Step 3: Cross multiply
    1,997.85x = 2,992.42 × 1,647.25
  4. Step 4: Simplify right side
    1,997.85x = 4,929,258.42
  5. Step 5: Solve for x
    x = 4,929,258.42/1,997.85
  6. Step 6: Final answer
    x = 2,467.28

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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.