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Finding the Fourth Proportional to 7,168.38, 9,895.50 and 4,183.08

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Solution

The fourth proportional to 7,168.38, 9,895.50 and 4,183.08 is: 5,774.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,168.38 : 9,895.50 = 4,183.08 : x
  2. Step 2: Convert to fraction form
    7,168.38/9,895.50 = 4,183.08/x
  3. Step 3: Cross multiply
    7,168.38x = 9,895.50 × 4,183.08
  4. Step 4: Simplify right side
    7,168.38x = 41,393,668.14
  5. Step 5: Solve for x
    x = 41,393,668.14/7,168.38
  6. Step 6: Final answer
    x = 5,774.48

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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.