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Finding the Fourth Proportional to 11,609, 16,020.42 and 6,641

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Solution

The fourth proportional to 11,609, 16,020.42 and 6,641 is: 9,164.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,609 : 16,020.42 = 6,641 : x
  2. Step 2: Convert to fraction form
    11,609/16,020.42 = 6,641/x
  3. Step 3: Cross multiply
    11,609x = 16,020.42 × 6,641
  4. Step 4: Simplify right side
    11,609x = 106,391,609.22
  5. Step 5: Solve for x
    x = 106,391,609.22/11,609
  6. Step 6: Final answer
    x = 9,164.58

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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.