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Finding the Fourth Proportional to 38,531, 53,172.84 and 20,867

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Solution

The fourth proportional to 38,531, 53,172.84 and 20,867 is: 28,796.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,531 : 53,172.84 = 20,867 : x
  2. Step 2: Convert to fraction form
    38,531/53,172.84 = 20,867/x
  3. Step 3: Cross multiply
    38,531x = 53,172.84 × 20,867
  4. Step 4: Simplify right side
    38,531x = 1,109,557,652.28
  5. Step 5: Solve for x
    x = 1,109,557,652.28/38,531
  6. Step 6: Final answer
    x = 28,796.49

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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.