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Finding the Fourth Proportional to 7,788.96, 11,689.11 and 2,861.73

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Solution

The fourth proportional to 7,788.96, 11,689.11 and 2,861.73 is: 4,294.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788.96 : 11,689.11 = 2,861.73 : x
  2. Step 2: Convert to fraction form
    7,788.96/11,689.11 = 2,861.73/x
  3. Step 3: Cross multiply
    7,788.96x = 11,689.11 × 2,861.73
  4. Step 4: Simplify right side
    7,788.96x = 33,451,076.76
  5. Step 5: Solve for x
    x = 33,451,076.76/7,788.96
  6. Step 6: Final answer
    x = 4,294.68

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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.