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Finding the Fourth Proportional to 5,792.24, 7,986.12 and 3,926

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Solution

The fourth proportional to 5,792.24, 7,986.12 and 3,926 is: 5,413.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.24 : 7,986.12 = 3,926 : x
  2. Step 2: Convert to fraction form
    5,792.24/7,986.12 = 3,926/x
  3. Step 3: Cross multiply
    5,792.24x = 7,986.12 × 3,926
  4. Step 4: Simplify right side
    5,792.24x = 31,353,507.12
  5. Step 5: Solve for x
    x = 31,353,507.12/5,792.24
  6. Step 6: Final answer
    x = 5,413.02

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Why These Related Problems?

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