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Finding the Fourth Proportional to 6,422.60, 9,648.30 and 6,249.80

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Solution

The fourth proportional to 6,422.60, 9,648.30 and 6,249.80 is: 9,388.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.60 : 9,648.30 = 6,249.80 : x
  2. Step 2: Convert to fraction form
    6,422.60/9,648.30 = 6,249.80/x
  3. Step 3: Cross multiply
    6,422.60x = 9,648.30 × 6,249.80
  4. Step 4: Simplify right side
    6,422.60x = 60,299,945.34
  5. Step 5: Solve for x
    x = 60,299,945.34/6,422.60
  6. Step 6: Final answer
    x = 9,388.71

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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.