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Finding the Fourth Proportional to 3,973.91, 5,953.50 and 1,997.21

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Solution

The fourth proportional to 3,973.91, 5,953.50 and 1,997.21 is: 2,992.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.91 : 5,953.50 = 1,997.21 : x
  2. Step 2: Convert to fraction form
    3,973.91/5,953.50 = 1,997.21/x
  3. Step 3: Cross multiply
    3,973.91x = 5,953.50 × 1,997.21
  4. Step 4: Simplify right side
    3,973.91x = 11,890,404.62
  5. Step 5: Solve for x
    x = 11,890,404.62/3,973.91
  6. Step 6: Final answer
    x = 2,992.12

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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.