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Finding the Fourth Proportional to 5,219.73, 7,819.17 and 3,138.62

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Solution

The fourth proportional to 5,219.73, 7,819.17 and 3,138.62 is: 4,701.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.73 : 7,819.17 = 3,138.62 : x
  2. Step 2: Convert to fraction form
    5,219.73/7,819.17 = 3,138.62/x
  3. Step 3: Cross multiply
    5,219.73x = 7,819.17 × 3,138.62
  4. Step 4: Simplify right side
    5,219.73x = 24,541,403.35
  5. Step 5: Solve for x
    x = 24,541,403.35/5,219.73
  6. Step 6: Final answer
    x = 4,701.66

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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.