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Finding the Fourth Proportional to 4,906.98, 6,771.60 and 2,811.11

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Solution

The fourth proportional to 4,906.98, 6,771.60 and 2,811.11 is: 3,879.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.98 : 6,771.60 = 2,811.11 : x
  2. Step 2: Convert to fraction form
    4,906.98/6,771.60 = 2,811.11/x
  3. Step 3: Cross multiply
    4,906.98x = 6,771.60 × 2,811.11
  4. Step 4: Simplify right side
    4,906.98x = 19,035,678.62
  5. Step 5: Solve for x
    x = 19,035,678.62/4,906.98
  6. Step 6: Final answer
    x = 3,879.31

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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.