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Finding the Fourth Proportional to 6,241.38, 8,617 and 3,974

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Solution

The fourth proportional to 6,241.38, 8,617 and 3,974 is: 5,486.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,241.38 : 8,617 = 3,974 : x
  2. Step 2: Convert to fraction form
    6,241.38/8,617 = 3,974/x
  3. Step 3: Cross multiply
    6,241.38x = 8,617 × 3,974
  4. Step 4: Simplify right side
    6,241.38x = 34,243,958
  5. Step 5: Solve for x
    x = 34,243,958/6,241.38
  6. Step 6: Final answer
    x = 5,486.60

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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.