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Finding the Fourth Proportional to 37,845, 52,226.10 and 21,078

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Solution

The fourth proportional to 37,845, 52,226.10 and 21,078 is: 29,087.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,845 : 52,226.10 = 21,078 : x
  2. Step 2: Convert to fraction form
    37,845/52,226.10 = 21,078/x
  3. Step 3: Cross multiply
    37,845x = 52,226.10 × 21,078
  4. Step 4: Simplify right side
    37,845x = 1,100,821,735.80
  5. Step 5: Solve for x
    x = 1,100,821,735.80/37,845
  6. Step 6: Final answer
    x = 29,087.64

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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.