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Finding the Fourth Proportional to 3,850.80, 5,770.80 and 3,386.40

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Solution

The fourth proportional to 3,850.80, 5,770.80 and 3,386.40 is: 5,074.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.80 : 5,770.80 = 3,386.40 : x
  2. Step 2: Convert to fraction form
    3,850.80/5,770.80 = 3,386.40/x
  3. Step 3: Cross multiply
    3,850.80x = 5,770.80 × 3,386.40
  4. Step 4: Simplify right side
    3,850.80x = 19,542,237.12
  5. Step 5: Solve for x
    x = 19,542,237.12/3,850.80
  6. Step 6: Final answer
    x = 5,074.85

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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.