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Finding the Fourth Proportional to 16,641, 22,964.60 and 9,189

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Solution

The fourth proportional to 16,641, 22,964.60 and 9,189 is: 12,680.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,641 : 22,964.60 = 9,189 : x
  2. Step 2: Convert to fraction form
    16,641/22,964.60 = 9,189/x
  3. Step 3: Cross multiply
    16,641x = 22,964.60 × 9,189
  4. Step 4: Simplify right side
    16,641x = 211,021,709.40
  5. Step 5: Solve for x
    x = 211,021,709.40/16,641
  6. Step 6: Final answer
    x = 12,680.83

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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.