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Finding the Fourth Proportional to 38,550, 53,199 and 20,886

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Solution

The fourth proportional to 38,550, 53,199 and 20,886 is: 28,822.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,550 : 53,199 = 20,886 : x
  2. Step 2: Convert to fraction form
    38,550/53,199 = 20,886/x
  3. Step 3: Cross multiply
    38,550x = 53,199 × 20,886
  4. Step 4: Simplify right side
    38,550x = 1,111,114,314
  5. Step 5: Solve for x
    x = 1,111,114,314/38,550
  6. Step 6: Final answer
    x = 28,822.68

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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.