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Finding the Fourth Proportional to 3,812.81, 5,719.21 and 2,639.12

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Solution

The fourth proportional to 3,812.81, 5,719.21 and 2,639.12 is: 3,958.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.81 : 5,719.21 = 2,639.12 : x
  2. Step 2: Convert to fraction form
    3,812.81/5,719.21 = 2,639.12/x
  3. Step 3: Cross multiply
    3,812.81x = 5,719.21 × 2,639.12
  4. Step 4: Simplify right side
    3,812.81x = 15,093,646.30
  5. Step 5: Solve for x
    x = 15,093,646.30/3,812.81
  6. Step 6: Final answer
    x = 3,958.67

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Why These Related Problems?

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