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Finding the Fourth Proportional to 3,450.85, 5,176.46 and 985.48

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Solution

The fourth proportional to 3,450.85, 5,176.46 and 985.48 is: 1,478.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.85 : 5,176.46 = 985.48 : x
  2. Step 2: Convert to fraction form
    3,450.85/5,176.46 = 985.48/x
  3. Step 3: Cross multiply
    3,450.85x = 5,176.46 × 985.48
  4. Step 4: Simplify right side
    3,450.85x = 5,101,297.80
  5. Step 5: Solve for x
    x = 5,101,297.80/3,450.85
  6. Step 6: Final answer
    x = 1,478.27

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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.