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Finding the Fourth Proportional to 3,977.94, 5,489.46 and 3,032.67

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Solution

The fourth proportional to 3,977.94, 5,489.46 and 3,032.67 is: 4,185.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.94 : 5,489.46 = 3,032.67 : x
  2. Step 2: Convert to fraction form
    3,977.94/5,489.46 = 3,032.67/x
  3. Step 3: Cross multiply
    3,977.94x = 5,489.46 × 3,032.67
  4. Step 4: Simplify right side
    3,977.94x = 16,647,720.66
  5. Step 5: Solve for x
    x = 16,647,720.66/3,977.94
  6. Step 6: Final answer
    x = 4,185.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.