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Finding the Fourth Proportional to 38,602, 53,270.76 and 20,938

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Solution

The fourth proportional to 38,602, 53,270.76 and 20,938 is: 28,894.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,602 : 53,270.76 = 20,938 : x
  2. Step 2: Convert to fraction form
    38,602/53,270.76 = 20,938/x
  3. Step 3: Cross multiply
    38,602x = 53,270.76 × 20,938
  4. Step 4: Simplify right side
    38,602x = 1,115,383,172.88
  5. Step 5: Solve for x
    x = 1,115,383,172.88/38,602
  6. Step 6: Final answer
    x = 28,894.44

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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.