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Finding the Fourth Proportional to 1,997.87, 2,996.73 and 536.94

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Solution

The fourth proportional to 1,997.87, 2,996.73 and 536.94 is: 805.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.87 : 2,996.73 = 536.94 : x
  2. Step 2: Convert to fraction form
    1,997.87/2,996.73 = 536.94/x
  3. Step 3: Cross multiply
    1,997.87x = 2,996.73 × 536.94
  4. Step 4: Simplify right side
    1,997.87x = 1,609,064.21
  5. Step 5: Solve for x
    x = 1,609,064.21/1,997.87
  6. Step 6: Final answer
    x = 805.39

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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.