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Finding the Fourth Proportional to 3,819, 5,727.69 and 3,092.70

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Solution

The fourth proportional to 3,819, 5,727.69 and 3,092.70 is: 4,638.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819 : 5,727.69 = 3,092.70 : x
  2. Step 2: Convert to fraction form
    3,819/5,727.69 = 3,092.70/x
  3. Step 3: Cross multiply
    3,819x = 5,727.69 × 3,092.70
  4. Step 4: Simplify right side
    3,819x = 17,714,026.86
  5. Step 5: Solve for x
    x = 17,714,026.86/3,819
  6. Step 6: Final answer
    x = 4,638.39

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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.