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Finding the Fourth Proportional to 41,622, 62,433 and 12,438

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Solution

The fourth proportional to 41,622, 62,433 and 12,438 is: 18,657

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,622 : 62,433 = 12,438 : x
  2. Step 2: Convert to fraction form
    41,622/62,433 = 12,438/x
  3. Step 3: Cross multiply
    41,622x = 62,433 × 12,438
  4. Step 4: Simplify right side
    41,622x = 776,541,654
  5. Step 5: Solve for x
    x = 776,541,654/41,622
  6. Step 6: Final answer
    x = 18,657

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.