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Finding the Fourth Proportional to 5,082.66, 7,620.39 and 1,960.02

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Solution

The fourth proportional to 5,082.66, 7,620.39 and 1,960.02 is: 2,938.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.66 : 7,620.39 = 1,960.02 : x
  2. Step 2: Convert to fraction form
    5,082.66/7,620.39 = 1,960.02/x
  3. Step 3: Cross multiply
    5,082.66x = 7,620.39 × 1,960.02
  4. Step 4: Simplify right side
    5,082.66x = 14,936,116.81
  5. Step 5: Solve for x
    x = 14,936,116.81/5,082.66
  6. Step 6: Final answer
    x = 2,938.64

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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.