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Finding the Fourth Proportional to 3,986.95, 5,986.53 and 2,141.67

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Solution

The fourth proportional to 3,986.95, 5,986.53 and 2,141.67 is: 3,215.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.95 : 5,986.53 = 2,141.67 : x
  2. Step 2: Convert to fraction form
    3,986.95/5,986.53 = 2,141.67/x
  3. Step 3: Cross multiply
    3,986.95x = 5,986.53 × 2,141.67
  4. Step 4: Simplify right side
    3,986.95x = 12,821,149.67
  5. Step 5: Solve for x
    x = 12,821,149.67/3,986.95
  6. Step 6: Final answer
    x = 3,215.78

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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.