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Finding the Fourth Proportional to 6,414.37, 9,609.09 and 4,216.42

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Solution

The fourth proportional to 6,414.37, 9,609.09 and 4,216.42 is: 6,316.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.37 : 9,609.09 = 4,216.42 : x
  2. Step 2: Convert to fraction form
    6,414.37/9,609.09 = 4,216.42/x
  3. Step 3: Cross multiply
    6,414.37x = 9,609.09 × 4,216.42
  4. Step 4: Simplify right side
    6,414.37x = 40,515,959.26
  5. Step 5: Solve for x
    x = 40,515,959.26/6,414.37
  6. Step 6: Final answer
    x = 6,316.44

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1.5x scale

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.