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Finding the Fourth Proportional to 3,843.60, 5,761.88 and 1,245.20

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Solution

The fourth proportional to 3,843.60, 5,761.88 and 1,245.20 is: 1,866.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.60 : 5,761.88 = 1,245.20 : x
  2. Step 2: Convert to fraction form
    3,843.60/5,761.88 = 1,245.20/x
  3. Step 3: Cross multiply
    3,843.60x = 5,761.88 × 1,245.20
  4. Step 4: Simplify right side
    3,843.60x = 7,174,692.98
  5. Step 5: Solve for x
    x = 7,174,692.98/3,843.60
  6. Step 6: Final answer
    x = 1,866.66

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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.