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Finding the Fourth Proportional to 16,389, 22,617.09 and 8,937

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Solution

The fourth proportional to 16,389, 22,617.09 and 8,937 is: 12,333.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,389 : 22,617.09 = 8,937 : x
  2. Step 2: Convert to fraction form
    16,389/22,617.09 = 8,937/x
  3. Step 3: Cross multiply
    16,389x = 22,617.09 × 8,937
  4. Step 4: Simplify right side
    16,389x = 202,128,933.33
  5. Step 5: Solve for x
    x = 202,128,933.33/16,389
  6. Step 6: Final answer
    x = 12,333.21

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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.