Home / 11,827-17,738.46-3,506.92

Finding the Fourth Proportional to 11,827, 17,738.46 and 3,506.92

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Solution

The fourth proportional to 11,827, 17,738.46 and 3,506.92 is: 5,259.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827 : 17,738.46 = 3,506.92 : x
  2. Step 2: Convert to fraction form
    11,827/17,738.46 = 3,506.92/x
  3. Step 3: Cross multiply
    11,827x = 17,738.46 × 3,506.92
  4. Step 4: Simplify right side
    11,827x = 62,207,360.14
  5. Step 5: Solve for x
    x = 62,207,360.14/11,827
  6. Step 6: Final answer
    x = 5,259.78

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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.