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Finding the Fourth Proportional to 11,911.66, 17,868.94 and 6,370.54

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Solution

The fourth proportional to 11,911.66, 17,868.94 and 6,370.54 is: 9,556.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.66 : 17,868.94 = 6,370.54 : x
  2. Step 2: Convert to fraction form
    11,911.66/17,868.94 = 6,370.54/x
  3. Step 3: Cross multiply
    11,911.66x = 17,868.94 × 6,370.54
  4. Step 4: Simplify right side
    11,911.66x = 113,834,797.03
  5. Step 5: Solve for x
    x = 113,834,797.03/11,911.66
  6. Step 6: Final answer
    x = 9,556.59

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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.