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Finding the Fourth Proportional to 8,235.74, 12,351 and 6,919.86

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Solution

The fourth proportional to 8,235.74, 12,351 and 6,919.86 is: 10,377.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.74 : 12,351 = 6,919.86 : x
  2. Step 2: Convert to fraction form
    8,235.74/12,351 = 6,919.86/x
  3. Step 3: Cross multiply
    8,235.74x = 12,351 × 6,919.86
  4. Step 4: Simplify right side
    8,235.74x = 85,467,190.86
  5. Step 5: Solve for x
    x = 85,467,190.86/8,235.74
  6. Step 6: Final answer
    x = 10,377.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.