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Finding the Fourth Proportional to 8,519.76, 12,779.11 and 3,181.92

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Solution

The fourth proportional to 8,519.76, 12,779.11 and 3,181.92 is: 4,772.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.76 : 12,779.11 = 3,181.92 : x
  2. Step 2: Convert to fraction form
    8,519.76/12,779.11 = 3,181.92/x
  3. Step 3: Cross multiply
    8,519.76x = 12,779.11 × 3,181.92
  4. Step 4: Simplify right side
    8,519.76x = 40,662,105.69
  5. Step 5: Solve for x
    x = 40,662,105.69/8,519.76
  6. Step 6: Final answer
    x = 4,772.68

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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.