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Finding the Fourth Proportional to 22,571, 31,148 and 12,635

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Solution

The fourth proportional to 22,571, 31,148 and 12,635 is: 17,436.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,571 : 31,148 = 12,635 : x
  2. Step 2: Convert to fraction form
    22,571/31,148 = 12,635/x
  3. Step 3: Cross multiply
    22,571x = 31,148 × 12,635
  4. Step 4: Simplify right side
    22,571x = 393,554,980
  5. Step 5: Solve for x
    x = 393,554,980/22,571
  6. Step 6: Final answer
    x = 17,436.31

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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.