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Finding the Fourth Proportional to 8,371.35, 12,546.09 and 6,419.45

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Solution

The fourth proportional to 8,371.35, 12,546.09 and 6,419.45 is: 9,620.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.35 : 12,546.09 = 6,419.45 : x
  2. Step 2: Convert to fraction form
    8,371.35/12,546.09 = 6,419.45/x
  3. Step 3: Cross multiply
    8,371.35x = 12,546.09 × 6,419.45
  4. Step 4: Simplify right side
    8,371.35x = 80,539,028.82
  5. Step 5: Solve for x
    x = 80,539,028.82/8,371.35
  6. Step 6: Final answer
    x = 9,620.79

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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.