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Finding the Fourth Proportional to 11,774, 17,661 and 4,369.88

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Solution

The fourth proportional to 11,774, 17,661 and 4,369.88 is: 6,554.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774 : 17,661 = 4,369.88 : x
  2. Step 2: Convert to fraction form
    11,774/17,661 = 4,369.88/x
  3. Step 3: Cross multiply
    11,774x = 17,661 × 4,369.88
  4. Step 4: Simplify right side
    11,774x = 77,176,450.68
  5. Step 5: Solve for x
    x = 77,176,450.68/11,774
  6. Step 6: Final answer
    x = 6,554.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.