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Finding the Fourth Proportional to 6,196.32, 8,550.80 and 3,401.76

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Solution

The fourth proportional to 6,196.32, 8,550.80 and 3,401.76 is: 4,694.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.32 : 8,550.80 = 3,401.76 : x
  2. Step 2: Convert to fraction form
    6,196.32/8,550.80 = 3,401.76/x
  3. Step 3: Cross multiply
    6,196.32x = 8,550.80 × 3,401.76
  4. Step 4: Simplify right side
    6,196.32x = 29,087,769.41
  5. Step 5: Solve for x
    x = 29,087,769.41/6,196.32
  6. Step 6: Final answer
    x = 4,694.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.