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Finding the Fourth Proportional to 5,183.76, 7,778.96 and 5,164.62

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Solution

The fourth proportional to 5,183.76, 7,778.96 and 5,164.62 is: 7,750.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,183.76 : 7,778.96 = 5,164.62 : x
  2. Step 2: Convert to fraction form
    5,183.76/7,778.96 = 5,164.62/x
  3. Step 3: Cross multiply
    5,183.76x = 7,778.96 × 5,164.62
  4. Step 4: Simplify right side
    5,183.76x = 40,175,346.57
  5. Step 5: Solve for x
    x = 40,175,346.57/5,183.76
  6. Step 6: Final answer
    x = 7,750.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.