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Finding the Fourth Proportional to 3,970.33, 5,957.12 and 1,375.09

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Solution

The fourth proportional to 3,970.33, 5,957.12 and 1,375.09 is: 2,063.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.33 : 5,957.12 = 1,375.09 : x
  2. Step 2: Convert to fraction form
    3,970.33/5,957.12 = 1,375.09/x
  3. Step 3: Cross multiply
    3,970.33x = 5,957.12 × 1,375.09
  4. Step 4: Simplify right side
    3,970.33x = 8,191,576.14
  5. Step 5: Solve for x
    x = 8,191,576.14/3,970.33
  6. Step 6: Final answer
    x = 2,063.20

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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.