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Finding the Fourth Proportional to 3,879.16, 5,816.58 and 1,928.68

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Solution

The fourth proportional to 3,879.16, 5,816.58 and 1,928.68 is: 2,891.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.16 : 5,816.58 = 1,928.68 : x
  2. Step 2: Convert to fraction form
    3,879.16/5,816.58 = 1,928.68/x
  3. Step 3: Cross multiply
    3,879.16x = 5,816.58 × 1,928.68
  4. Step 4: Simplify right side
    3,879.16x = 11,218,321.51
  5. Step 5: Solve for x
    x = 11,218,321.51/3,879.16
  6. Step 6: Final answer
    x = 2,891.95

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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.