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Finding the Fourth Proportional to 3,740, 5,610.40 and 1,399.64

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Solution

The fourth proportional to 3,740, 5,610.40 and 1,399.64 is: 2,099.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740 : 5,610.40 = 1,399.64 : x
  2. Step 2: Convert to fraction form
    3,740/5,610.40 = 1,399.64/x
  3. Step 3: Cross multiply
    3,740x = 5,610.40 × 1,399.64
  4. Step 4: Simplify right side
    3,740x = 7,852,540.26
  5. Step 5: Solve for x
    x = 7,852,540.26/3,740
  6. Step 6: Final answer
    x = 2,099.61

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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.