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Finding the Fourth Proportional to 2,321.85, 3,480.85 and 2,118.75

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Solution

The fourth proportional to 2,321.85, 3,480.85 and 2,118.75 is: 3,176.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.85 : 3,480.85 = 2,118.75 : x
  2. Step 2: Convert to fraction form
    2,321.85/3,480.85 = 2,118.75/x
  3. Step 3: Cross multiply
    2,321.85x = 3,480.85 × 2,118.75
  4. Step 4: Simplify right side
    2,321.85x = 7,375,050.94
  5. Step 5: Solve for x
    x = 7,375,050.94/2,321.85
  6. Step 6: Final answer
    x = 3,176.37

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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.