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Finding the Fourth Proportional to 5,796.50, 7,997.81 and 3,911.57

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Solution

The fourth proportional to 5,796.50, 7,997.81 and 3,911.57 is: 5,397.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.50 : 7,997.81 = 3,911.57 : x
  2. Step 2: Convert to fraction form
    5,796.50/7,997.81 = 3,911.57/x
  3. Step 3: Cross multiply
    5,796.50x = 7,997.81 × 3,911.57
  4. Step 4: Simplify right side
    5,796.50x = 31,283,934.11
  5. Step 5: Solve for x
    x = 31,283,934.11/5,796.50
  6. Step 6: Final answer
    x = 5,397.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.