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Finding the Fourth Proportional to 3,305.16, 4,958.49 and 1,919.65

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Solution

The fourth proportional to 3,305.16, 4,958.49 and 1,919.65 is: 2,879.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,305.16 : 4,958.49 = 1,919.65 : x
  2. Step 2: Convert to fraction form
    3,305.16/4,958.49 = 1,919.65/x
  3. Step 3: Cross multiply
    3,305.16x = 4,958.49 × 1,919.65
  4. Step 4: Simplify right side
    3,305.16x = 9,518,565.33
  5. Step 5: Solve for x
    x = 9,518,565.33/3,305.16
  6. Step 6: Final answer
    x = 2,879.91

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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.