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Finding the Fourth Proportional to 5,321.81, 7,977.31 and 2,544.41

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Solution

The fourth proportional to 5,321.81, 7,977.31 and 2,544.41 is: 3,814.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.81 : 7,977.31 = 2,544.41 : x
  2. Step 2: Convert to fraction form
    5,321.81/7,977.31 = 2,544.41/x
  3. Step 3: Cross multiply
    5,321.81x = 7,977.31 × 2,544.41
  4. Step 4: Simplify right side
    5,321.81x = 20,297,501.09
  5. Step 5: Solve for x
    x = 20,297,501.09/5,321.81
  6. Step 6: Final answer
    x = 3,814.03

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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.