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Finding the Fourth Proportional to 7,082.56, 10,626 and 5,112.64

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Solution

The fourth proportional to 7,082.56, 10,626 and 5,112.64 is: 7,670.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.56 : 10,626 = 5,112.64 : x
  2. Step 2: Convert to fraction form
    7,082.56/10,626 = 5,112.64/x
  3. Step 3: Cross multiply
    7,082.56x = 10,626 × 5,112.64
  4. Step 4: Simplify right side
    7,082.56x = 54,326,912.64
  5. Step 5: Solve for x
    x = 54,326,912.64/7,082.56
  6. Step 6: Final answer
    x = 7,670.52

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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.