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Finding the Fourth Proportional to 5,919.56, 8,879.82 and 3,454.64

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Solution

The fourth proportional to 5,919.56, 8,879.82 and 3,454.64 is: 5,182.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,919.56 : 8,879.82 = 3,454.64 : x
  2. Step 2: Convert to fraction form
    5,919.56/8,879.82 = 3,454.64/x
  3. Step 3: Cross multiply
    5,919.56x = 8,879.82 × 3,454.64
  4. Step 4: Simplify right side
    5,919.56x = 30,676,581.36
  5. Step 5: Solve for x
    x = 30,676,581.36/5,919.56
  6. Step 6: Final answer
    x = 5,182.24

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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.