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Finding the Fourth Proportional to 36,900, 50,922 and 21,996

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Solution

The fourth proportional to 36,900, 50,922 and 21,996 is: 30,354.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,900 : 50,922 = 21,996 : x
  2. Step 2: Convert to fraction form
    36,900/50,922 = 21,996/x
  3. Step 3: Cross multiply
    36,900x = 50,922 × 21,996
  4. Step 4: Simplify right side
    36,900x = 1,120,080,312
  5. Step 5: Solve for x
    x = 1,120,080,312/36,900
  6. Step 6: Final answer
    x = 30,354.48

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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.