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Finding the Fourth Proportional to 9,321.78, 13,982.22 and 3,477.94

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Solution

The fourth proportional to 9,321.78, 13,982.22 and 3,477.94 is: 5,216.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.78 : 13,982.22 = 3,477.94 : x
  2. Step 2: Convert to fraction form
    9,321.78/13,982.22 = 3,477.94/x
  3. Step 3: Cross multiply
    9,321.78x = 13,982.22 × 3,477.94
  4. Step 4: Simplify right side
    9,321.78x = 48,629,287.27
  5. Step 5: Solve for x
    x = 48,629,287.27/9,321.78
  6. Step 6: Final answer
    x = 5,216.74

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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.