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Finding the Fourth Proportional to 3,800.12, 5,692.16 and 1,945.58

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Solution

The fourth proportional to 3,800.12, 5,692.16 and 1,945.58 is: 2,914.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.12 : 5,692.16 = 1,945.58 : x
  2. Step 2: Convert to fraction form
    3,800.12/5,692.16 = 1,945.58/x
  3. Step 3: Cross multiply
    3,800.12x = 5,692.16 × 1,945.58
  4. Step 4: Simplify right side
    3,800.12x = 11,074,552.65
  5. Step 5: Solve for x
    x = 11,074,552.65/3,800.12
  6. Step 6: Final answer
    x = 2,914.26

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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.