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Finding the Fourth Proportional to 12,163.54, 16,784.43 and 8,978.52

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Solution

The fourth proportional to 12,163.54, 16,784.43 and 8,978.52 is: 12,389.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163.54 : 16,784.43 = 8,978.52 : x
  2. Step 2: Convert to fraction form
    12,163.54/16,784.43 = 8,978.52/x
  3. Step 3: Cross multiply
    12,163.54x = 16,784.43 × 8,978.52
  4. Step 4: Simplify right side
    12,163.54x = 150,699,340.44
  5. Step 5: Solve for x
    x = 150,699,340.44/12,163.54
  6. Step 6: Final answer
    x = 12,389.43

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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.