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Finding the Fourth Proportional to 36,738, 50,694.39 and 20,822.31

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Solution

The fourth proportional to 36,738, 50,694.39 and 20,822.31 is: 28,732.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,738 : 50,694.39 = 20,822.31 : x
  2. Step 2: Convert to fraction form
    36,738/50,694.39 = 20,822.31/x
  3. Step 3: Cross multiply
    36,738x = 50,694.39 × 20,822.31
  4. Step 4: Simplify right side
    36,738x = 1,055,574,303.84
  5. Step 5: Solve for x
    x = 1,055,574,303.84/36,738
  6. Step 6: Final answer
    x = 28,732.49

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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.