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Finding the Fourth Proportional to 22,634, 31,237.80 and 12,698

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Solution

The fourth proportional to 22,634, 31,237.80 and 12,698 is: 17,524.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,634 : 31,237.80 = 12,698 : x
  2. Step 2: Convert to fraction form
    22,634/31,237.80 = 12,698/x
  3. Step 3: Cross multiply
    22,634x = 31,237.80 × 12,698
  4. Step 4: Simplify right side
    22,634x = 396,657,584.40
  5. Step 5: Solve for x
    x = 396,657,584.40/22,634
  6. Step 6: Final answer
    x = 17,524.86

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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.