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Finding the Fourth Proportional to 6,414.64, 9,640.20 and 4,375.60

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Solution

The fourth proportional to 6,414.64, 9,640.20 and 4,375.60 is: 6,575.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.64 : 9,640.20 = 4,375.60 : x
  2. Step 2: Convert to fraction form
    6,414.64/9,640.20 = 4,375.60/x
  3. Step 3: Cross multiply
    6,414.64x = 9,640.20 × 4,375.60
  4. Step 4: Simplify right side
    6,414.64x = 42,181,659.12
  5. Step 5: Solve for x
    x = 42,181,659.12/6,414.64
  6. Step 6: Final answer
    x = 6,575.84

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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.