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Finding the Fourth Proportional to 38,270, 52,817.46 and 21,503

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Solution

The fourth proportional to 38,270, 52,817.46 and 21,503 is: 29,676.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,270 : 52,817.46 = 21,503 : x
  2. Step 2: Convert to fraction form
    38,270/52,817.46 = 21,503/x
  3. Step 3: Cross multiply
    38,270x = 52,817.46 × 21,503
  4. Step 4: Simplify right side
    38,270x = 1,135,733,842.38
  5. Step 5: Solve for x
    x = 1,135,733,842.38/38,270
  6. Step 6: Final answer
    x = 29,676.87

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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.