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Finding the Fourth Proportional to 13,082.60, 19,617.18 and 3,847.40

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Solution

The fourth proportional to 13,082.60, 19,617.18 and 3,847.40 is: 5,769.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,082.60 : 19,617.18 = 3,847.40 : x
  2. Step 2: Convert to fraction form
    13,082.60/19,617.18 = 3,847.40/x
  3. Step 3: Cross multiply
    13,082.60x = 19,617.18 × 3,847.40
  4. Step 4: Simplify right side
    13,082.60x = 75,475,138.33
  5. Step 5: Solve for x
    x = 75,475,138.33/13,082.60
  6. Step 6: Final answer
    x = 5,769.12

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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.