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Finding the Fourth Proportional to 6,195, 8,549.10 and 3,400.68

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Solution

The fourth proportional to 6,195, 8,549.10 and 3,400.68 is: 4,692.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,195 : 8,549.10 = 3,400.68 : x
  2. Step 2: Convert to fraction form
    6,195/8,549.10 = 3,400.68/x
  3. Step 3: Cross multiply
    6,195x = 8,549.10 × 3,400.68
  4. Step 4: Simplify right side
    6,195x = 29,072,753.39
  5. Step 5: Solve for x
    x = 29,072,753.39/6,195
  6. Step 6: Final answer
    x = 4,692.94

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Why These Related Problems?

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