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Finding the Fourth Proportional to 28,138.37, 42,201.27 and 8,414.37

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Solution

The fourth proportional to 28,138.37, 42,201.27 and 8,414.37 is: 12,619.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,138.37 : 42,201.27 = 8,414.37 : x
  2. Step 2: Convert to fraction form
    28,138.37/42,201.27 = 8,414.37/x
  3. Step 3: Cross multiply
    28,138.37x = 42,201.27 × 8,414.37
  4. Step 4: Simplify right side
    28,138.37x = 355,097,100.25
  5. Step 5: Solve for x
    x = 355,097,100.25/28,138.37
  6. Step 6: Final answer
    x = 12,619.68

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1.5x scale

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.