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Finding the Fourth Proportional to 6,173.12, 8,521.68 and 3,938

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Solution

The fourth proportional to 6,173.12, 8,521.68 and 3,938 is: 5,436.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173.12 : 8,521.68 = 3,938 : x
  2. Step 2: Convert to fraction form
    6,173.12/8,521.68 = 3,938/x
  3. Step 3: Cross multiply
    6,173.12x = 8,521.68 × 3,938
  4. Step 4: Simplify right side
    6,173.12x = 33,558,375.84
  5. Step 5: Solve for x
    x = 33,558,375.84/6,173.12
  6. Step 6: Final answer
    x = 5,436.21

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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.