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Finding the Fourth Proportional to 5,792.72, 7,993.94 and 3,140.12

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Solution

The fourth proportional to 5,792.72, 7,993.94 and 3,140.12 is: 4,333.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.72 : 7,993.94 = 3,140.12 : x
  2. Step 2: Convert to fraction form
    5,792.72/7,993.94 = 3,140.12/x
  3. Step 3: Cross multiply
    5,792.72x = 7,993.94 × 3,140.12
  4. Step 4: Simplify right side
    5,792.72x = 25,101,875.20
  5. Step 5: Solve for x
    x = 25,101,875.20/5,792.72
  6. Step 6: Final answer
    x = 4,333.35

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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.