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Finding the Fourth Proportional to 28,647, 39,533.22 and 15,900.48

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Solution

The fourth proportional to 28,647, 39,533.22 and 15,900.48 is: 21,942.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,647 : 39,533.22 = 15,900.48 : x
  2. Step 2: Convert to fraction form
    28,647/39,533.22 = 15,900.48/x
  3. Step 3: Cross multiply
    28,647x = 39,533.22 × 15,900.48
  4. Step 4: Simplify right side
    28,647x = 628,597,173.95
  5. Step 5: Solve for x
    x = 628,597,173.95/28,647
  6. Step 6: Final answer
    x = 21,942.86

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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.