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Finding the Fourth Proportional to 3,978.44, 5,967.80 and 1,205.34

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Solution

The fourth proportional to 3,978.44, 5,967.80 and 1,205.34 is: 1,808.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.44 : 5,967.80 = 1,205.34 : x
  2. Step 2: Convert to fraction form
    3,978.44/5,967.80 = 1,205.34/x
  3. Step 3: Cross multiply
    3,978.44x = 5,967.80 × 1,205.34
  4. Step 4: Simplify right side
    3,978.44x = 7,193,228.05
  5. Step 5: Solve for x
    x = 7,193,228.05/3,978.44
  6. Step 6: Final answer
    x = 1,808.05

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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.