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Finding the Fourth Proportional to 11,907.11, 16,431.62 and 6,601.80

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Solution

The fourth proportional to 11,907.11, 16,431.62 and 6,601.80 is: 9,110.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.11 : 16,431.62 = 6,601.80 : x
  2. Step 2: Convert to fraction form
    11,907.11/16,431.62 = 6,601.80/x
  3. Step 3: Cross multiply
    11,907.11x = 16,431.62 × 6,601.80
  4. Step 4: Simplify right side
    11,907.11x = 108,478,235.91
  5. Step 5: Solve for x
    x = 108,478,235.91/11,907.11
  6. Step 6: Final answer
    x = 9,110.38

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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.