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Finding the Fourth Proportional to 8,519, 12,767.68 and 3,833.99

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Solution

The fourth proportional to 8,519, 12,767.68 and 3,833.99 is: 5,746.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519 : 12,767.68 = 3,833.99 : x
  2. Step 2: Convert to fraction form
    8,519/12,767.68 = 3,833.99/x
  3. Step 3: Cross multiply
    8,519x = 12,767.68 × 3,833.99
  4. Step 4: Simplify right side
    8,519x = 48,951,157.44
  5. Step 5: Solve for x
    x = 48,951,157.44/8,519
  6. Step 6: Final answer
    x = 5,746.12

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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.