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Finding the Fourth Proportional to 36,669, 50,616.34 and 21,765

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Solution

The fourth proportional to 36,669, 50,616.34 and 21,765 is: 30,043.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,669 : 50,616.34 = 21,765 : x
  2. Step 2: Convert to fraction form
    36,669/50,616.34 = 21,765/x
  3. Step 3: Cross multiply
    36,669x = 50,616.34 × 21,765
  4. Step 4: Simplify right side
    36,669x = 1,101,664,640.10
  5. Step 5: Solve for x
    x = 1,101,664,640.10/36,669
  6. Step 6: Final answer
    x = 30,043.49

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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.