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Finding the Fourth Proportional to 3,914.92, 5,873.46 and 1,319.68

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Solution

The fourth proportional to 3,914.92, 5,873.46 and 1,319.68 is: 1,979.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.92 : 5,873.46 = 1,319.68 : x
  2. Step 2: Convert to fraction form
    3,914.92/5,873.46 = 1,319.68/x
  3. Step 3: Cross multiply
    3,914.92x = 5,873.46 × 1,319.68
  4. Step 4: Simplify right side
    3,914.92x = 7,751,087.69
  5. Step 5: Solve for x
    x = 7,751,087.69/3,914.92
  6. Step 6: Final answer
    x = 1,979.88

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1.5x scale

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.