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Finding the Fourth Proportional to 4,811.11, 7,211.16 and 2,180.62

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Solution

The fourth proportional to 4,811.11, 7,211.16 and 2,180.62 is: 3,268.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,811.11 : 7,211.16 = 2,180.62 : x
  2. Step 2: Convert to fraction form
    4,811.11/7,211.16 = 2,180.62/x
  3. Step 3: Cross multiply
    4,811.11x = 7,211.16 × 2,180.62
  4. Step 4: Simplify right side
    4,811.11x = 15,724,799.72
  5. Step 5: Solve for x
    x = 15,724,799.72/4,811.11
  6. Step 6: Final answer
    x = 3,268.43

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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.