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Finding the Fourth Proportional to 6,242, 8,614 and 3,447.60

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Solution

The fourth proportional to 6,242, 8,614 and 3,447.60 is: 4,757.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242 : 8,614 = 3,447.60 : x
  2. Step 2: Convert to fraction form
    6,242/8,614 = 3,447.60/x
  3. Step 3: Cross multiply
    6,242x = 8,614 × 3,447.60
  4. Step 4: Simplify right side
    6,242x = 29,697,626.40
  5. Step 5: Solve for x
    x = 29,697,626.40/6,242
  6. Step 6: Final answer
    x = 4,757.71

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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.