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Finding the Fourth Proportional to 3,984.74, 5,974.92 and 3,057.98

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Solution

The fourth proportional to 3,984.74, 5,974.92 and 3,057.98 is: 4,585.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.74 : 5,974.92 = 3,057.98 : x
  2. Step 2: Convert to fraction form
    3,984.74/5,974.92 = 3,057.98/x
  3. Step 3: Cross multiply
    3,984.74x = 5,974.92 × 3,057.98
  4. Step 4: Simplify right side
    3,984.74x = 18,271,185.86
  5. Step 5: Solve for x
    x = 18,271,185.86/3,984.74
  6. Step 6: Final answer
    x = 4,585.29

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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.