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Finding the Fourth Proportional to 3,775.87, 5,657.40 and 2,311.96

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Solution

The fourth proportional to 3,775.87, 5,657.40 and 2,311.96 is: 3,464.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.87 : 5,657.40 = 2,311.96 : x
  2. Step 2: Convert to fraction form
    3,775.87/5,657.40 = 2,311.96/x
  3. Step 3: Cross multiply
    3,775.87x = 5,657.40 × 2,311.96
  4. Step 4: Simplify right side
    3,775.87x = 13,079,682.50
  5. Step 5: Solve for x
    x = 13,079,682.50/3,775.87
  6. Step 6: Final answer
    x = 3,464.02

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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.