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Finding the Fourth Proportional to 3,740.65, 5,611.19 and 2,697.78

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Solution

The fourth proportional to 3,740.65, 5,611.19 and 2,697.78 is: 4,046.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.65 : 5,611.19 = 2,697.78 : x
  2. Step 2: Convert to fraction form
    3,740.65/5,611.19 = 2,697.78/x
  3. Step 3: Cross multiply
    3,740.65x = 5,611.19 × 2,697.78
  4. Step 4: Simplify right side
    3,740.65x = 15,137,756.16
  5. Step 5: Solve for x
    x = 15,137,756.16/3,740.65
  6. Step 6: Final answer
    x = 4,046.83

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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.