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Finding the Fourth Proportional to 6,464.44, 9,685.86 and 6,221.44

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Solution

The fourth proportional to 6,464.44, 9,685.86 and 6,221.44 is: 9,321.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.44 : 9,685.86 = 6,221.44 : x
  2. Step 2: Convert to fraction form
    6,464.44/9,685.86 = 6,221.44/x
  3. Step 3: Cross multiply
    6,464.44x = 9,685.86 × 6,221.44
  4. Step 4: Simplify right side
    6,464.44x = 60,259,996.84
  5. Step 5: Solve for x
    x = 60,259,996.84/6,464.44
  6. Step 6: Final answer
    x = 9,321.77

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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.