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Finding the Fourth Proportional to 6,306.50, 8,703.24 and 3,512

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Solution

The fourth proportional to 6,306.50, 8,703.24 and 3,512 is: 4,846.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.50 : 8,703.24 = 3,512 : x
  2. Step 2: Convert to fraction form
    6,306.50/8,703.24 = 3,512/x
  3. Step 3: Cross multiply
    6,306.50x = 8,703.24 × 3,512
  4. Step 4: Simplify right side
    6,306.50x = 30,565,778.88
  5. Step 5: Solve for x
    x = 30,565,778.88/6,306.50
  6. Step 6: Final answer
    x = 4,846.71

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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.