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Finding the Fourth Proportional to 3,847.32, 5,770.98 and 1,899.54

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Solution

The fourth proportional to 3,847.32, 5,770.98 and 1,899.54 is: 2,849.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.32 : 5,770.98 = 1,899.54 : x
  2. Step 2: Convert to fraction form
    3,847.32/5,770.98 = 1,899.54/x
  3. Step 3: Cross multiply
    3,847.32x = 5,770.98 × 1,899.54
  4. Step 4: Simplify right side
    3,847.32x = 10,962,207.35
  5. Step 5: Solve for x
    x = 10,962,207.35/3,847.32
  6. Step 6: Final answer
    x = 2,849.31

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Similar ratio
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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.