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Finding the Fourth Proportional to 6,646.14, 9,978.44 and 3,361.55

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Solution

The fourth proportional to 6,646.14, 9,978.44 and 3,361.55 is: 5,046.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.14 : 9,978.44 = 3,361.55 : x
  2. Step 2: Convert to fraction form
    6,646.14/9,978.44 = 3,361.55/x
  3. Step 3: Cross multiply
    6,646.14x = 9,978.44 × 3,361.55
  4. Step 4: Simplify right side
    6,646.14x = 33,542,958.28
  5. Step 5: Solve for x
    x = 33,542,958.28/6,646.14
  6. Step 6: Final answer
    x = 5,046.98

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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.