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Finding the Fourth Proportional to 4,189, 6,286.38 and 1,453

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Solution

The fourth proportional to 4,189, 6,286.38 and 1,453 is: 2,180.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189 : 6,286.38 = 1,453 : x
  2. Step 2: Convert to fraction form
    4,189/6,286.38 = 1,453/x
  3. Step 3: Cross multiply
    4,189x = 6,286.38 × 1,453
  4. Step 4: Simplify right side
    4,189x = 9,134,110.14
  5. Step 5: Solve for x
    x = 9,134,110.14/4,189
  6. Step 6: Final answer
    x = 2,180.50

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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.