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Finding the Fourth Proportional to 5,321.22, 7,981.60 and 1,811.09

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Solution

The fourth proportional to 5,321.22, 7,981.60 and 1,811.09 is: 2,716.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.22 : 7,981.60 = 1,811.09 : x
  2. Step 2: Convert to fraction form
    5,321.22/7,981.60 = 1,811.09/x
  3. Step 3: Cross multiply
    5,321.22x = 7,981.60 × 1,811.09
  4. Step 4: Simplify right side
    5,321.22x = 14,455,395.94
  5. Step 5: Solve for x
    x = 14,455,395.94/5,321.22
  6. Step 6: Final answer
    x = 2,716.56

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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.