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Finding the Fourth Proportional to 2,778.45, 4,157.55 and 2,049.45

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Solution

The fourth proportional to 2,778.45, 4,157.55 and 2,049.45 is: 3,066.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.45 : 4,157.55 = 2,049.45 : x
  2. Step 2: Convert to fraction form
    2,778.45/4,157.55 = 2,049.45/x
  3. Step 3: Cross multiply
    2,778.45x = 4,157.55 × 2,049.45
  4. Step 4: Simplify right side
    2,778.45x = 8,520,690.85
  5. Step 5: Solve for x
    x = 8,520,690.85/2,778.45
  6. Step 6: Final answer
    x = 3,066.71

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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.