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Finding the Fourth Proportional to 16,212, 22,372.36 and 9,138.48

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Solution

The fourth proportional to 16,212, 22,372.36 and 9,138.48 is: 12,610.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,212 : 22,372.36 = 9,138.48 : x
  2. Step 2: Convert to fraction form
    16,212/22,372.36 = 9,138.48/x
  3. Step 3: Cross multiply
    16,212x = 22,372.36 × 9,138.48
  4. Step 4: Simplify right side
    16,212x = 204,449,364.41
  5. Step 5: Solve for x
    x = 204,449,364.41/16,212
  6. Step 6: Final answer
    x = 12,610.99

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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.