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Finding the Fourth Proportional to 5,463, 7,538.94 and 3,105.29

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Solution

The fourth proportional to 5,463, 7,538.94 and 3,105.29 is: 4,285.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463 : 7,538.94 = 3,105.29 : x
  2. Step 2: Convert to fraction form
    5,463/7,538.94 = 3,105.29/x
  3. Step 3: Cross multiply
    5,463x = 7,538.94 × 3,105.29
  4. Step 4: Simplify right side
    5,463x = 23,410,613.84
  5. Step 5: Solve for x
    x = 23,410,613.84/5,463
  6. Step 6: Final answer
    x = 4,285.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.