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Finding the Fourth Proportional to 28,261.44, 42,390 and 7,201.44

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Solution

The fourth proportional to 28,261.44, 42,390 and 7,201.44 is: 10,801.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,261.44 : 42,390 = 7,201.44 : x
  2. Step 2: Convert to fraction form
    28,261.44/42,390 = 7,201.44/x
  3. Step 3: Cross multiply
    28,261.44x = 42,390 × 7,201.44
  4. Step 4: Simplify right side
    28,261.44x = 305,269,041.60
  5. Step 5: Solve for x
    x = 305,269,041.60/28,261.44
  6. Step 6: Final answer
    x = 10,801.61

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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.