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Finding the Fourth Proportional to 8,310.72, 12,447.77 and 6,869.60

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Solution

The fourth proportional to 8,310.72, 12,447.77 and 6,869.60 is: 10,289.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.72 : 12,447.77 = 6,869.60 : x
  2. Step 2: Convert to fraction form
    8,310.72/12,447.77 = 6,869.60/x
  3. Step 3: Cross multiply
    8,310.72x = 12,447.77 × 6,869.60
  4. Step 4: Simplify right side
    8,310.72x = 85,511,200.79
  5. Step 5: Solve for x
    x = 85,511,200.79/8,310.72
  6. Step 6: Final answer
    x = 10,289.27

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1.5x scale

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.