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Finding the Fourth Proportional to 38,217, 52,739.46 and 21,450

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Solution

The fourth proportional to 38,217, 52,739.46 and 21,450 is: 29,601

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,217 : 52,739.46 = 21,450 : x
  2. Step 2: Convert to fraction form
    38,217/52,739.46 = 21,450/x
  3. Step 3: Cross multiply
    38,217x = 52,739.46 × 21,450
  4. Step 4: Simplify right side
    38,217x = 1,131,261,417
  5. Step 5: Solve for x
    x = 1,131,261,417/38,217
  6. Step 6: Final answer
    x = 29,601

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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.