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Finding the Fourth Proportional to 3,855.54, 5,778.66 and 1,772.67

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Solution

The fourth proportional to 3,855.54, 5,778.66 and 1,772.67 is: 2,656.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.54 : 5,778.66 = 1,772.67 : x
  2. Step 2: Convert to fraction form
    3,855.54/5,778.66 = 1,772.67/x
  3. Step 3: Cross multiply
    3,855.54x = 5,778.66 × 1,772.67
  4. Step 4: Simplify right side
    3,855.54x = 10,243,657.22
  5. Step 5: Solve for x
    x = 10,243,657.22/3,855.54
  6. Step 6: Final answer
    x = 2,656.87

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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.