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Finding the Fourth Proportional to 11,774, 17,660.55 and 3,982.81

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Solution

The fourth proportional to 11,774, 17,660.55 and 3,982.81 is: 5,974.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774 : 17,660.55 = 3,982.81 : x
  2. Step 2: Convert to fraction form
    11,774/17,660.55 = 3,982.81/x
  3. Step 3: Cross multiply
    11,774x = 17,660.55 × 3,982.81
  4. Step 4: Simplify right side
    11,774x = 70,338,615.15
  5. Step 5: Solve for x
    x = 70,338,615.15/11,774
  6. Step 6: Final answer
    x = 5,974.06

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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.