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Finding the Fourth Proportional to 8,361.85, 12,542.91 and 3,978.43

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Solution

The fourth proportional to 8,361.85, 12,542.91 and 3,978.43 is: 5,967.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361.85 : 12,542.91 = 3,978.43 : x
  2. Step 2: Convert to fraction form
    8,361.85/12,542.91 = 3,978.43/x
  3. Step 3: Cross multiply
    8,361.85x = 12,542.91 × 3,978.43
  4. Step 4: Simplify right side
    8,361.85x = 49,901,089.43
  5. Step 5: Solve for x
    x = 49,901,089.43/8,361.85
  6. Step 6: Final answer
    x = 5,967.71

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1.5x scale

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.