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Finding the Fourth Proportional to 3,856.36, 5,783.58 and 3,163

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Solution

The fourth proportional to 3,856.36, 5,783.58 and 3,163 is: 4,743.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.36 : 5,783.58 = 3,163 : x
  2. Step 2: Convert to fraction form
    3,856.36/5,783.58 = 3,163/x
  3. Step 3: Cross multiply
    3,856.36x = 5,783.58 × 3,163
  4. Step 4: Simplify right side
    3,856.36x = 18,293,463.54
  5. Step 5: Solve for x
    x = 18,293,463.54/3,856.36
  6. Step 6: Final answer
    x = 4,743.71

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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.