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Finding the Fourth Proportional to 6,306.21, 8,702.64 and 3,949.74

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Solution

The fourth proportional to 6,306.21, 8,702.64 and 3,949.74 is: 5,450.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.21 : 8,702.64 = 3,949.74 : x
  2. Step 2: Convert to fraction form
    6,306.21/8,702.64 = 3,949.74/x
  3. Step 3: Cross multiply
    6,306.21x = 8,702.64 × 3,949.74
  4. Step 4: Simplify right side
    6,306.21x = 34,373,165.31
  5. Step 5: Solve for x
    x = 34,373,165.31/6,306.21
  6. Step 6: Final answer
    x = 5,450.69

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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.