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Finding the Fourth Proportional to 5,791.50, 7,998.75 and 3,925.26

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Solution

The fourth proportional to 5,791.50, 7,998.75 and 3,925.26 is: 5,421.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.50 : 7,998.75 = 3,925.26 : x
  2. Step 2: Convert to fraction form
    5,791.50/7,998.75 = 3,925.26/x
  3. Step 3: Cross multiply
    5,791.50x = 7,998.75 × 3,925.26
  4. Step 4: Simplify right side
    5,791.50x = 31,397,173.43
  5. Step 5: Solve for x
    x = 31,397,173.43/5,791.50
  6. Step 6: Final answer
    x = 5,421.25

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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.