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Finding the Fourth Proportional to 11,786.70, 17,679.98 and 3,021.60

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Solution

The fourth proportional to 11,786.70, 17,679.98 and 3,021.60 is: 4,532.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786.70 : 17,679.98 = 3,021.60 : x
  2. Step 2: Convert to fraction form
    11,786.70/17,679.98 = 3,021.60/x
  3. Step 3: Cross multiply
    11,786.70x = 17,679.98 × 3,021.60
  4. Step 4: Simplify right side
    11,786.70x = 53,421,827.57
  5. Step 5: Solve for x
    x = 53,421,827.57/11,786.70
  6. Step 6: Final answer
    x = 4,532.38

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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.