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Finding the Fourth Proportional to 3,082.64, 4,626.53 and 1,971.55

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Solution

The fourth proportional to 3,082.64, 4,626.53 and 1,971.55 is: 2,958.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.64 : 4,626.53 = 1,971.55 : x
  2. Step 2: Convert to fraction form
    3,082.64/4,626.53 = 1,971.55/x
  3. Step 3: Cross multiply
    3,082.64x = 4,626.53 × 1,971.55
  4. Step 4: Simplify right side
    3,082.64x = 9,121,418.54
  5. Step 5: Solve for x
    x = 9,121,418.54/3,082.64
  6. Step 6: Final answer
    x = 2,958.96

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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.