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Finding the Fourth Proportional to 6,819.38, 9,410.43 and 3,794.65

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Solution

The fourth proportional to 6,819.38, 9,410.43 and 3,794.65 is: 5,236.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.38 : 9,410.43 = 3,794.65 : x
  2. Step 2: Convert to fraction form
    6,819.38/9,410.43 = 3,794.65/x
  3. Step 3: Cross multiply
    6,819.38x = 9,410.43 × 3,794.65
  4. Step 4: Simplify right side
    6,819.38x = 35,709,314.19
  5. Step 5: Solve for x
    x = 35,709,314.19/6,819.38
  6. Step 6: Final answer
    x = 5,236.45

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1.5x scale

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.