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Finding the Fourth Proportional to 3,840.92, 5,299.52 and 2,162

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Solution

The fourth proportional to 3,840.92, 5,299.52 and 2,162 is: 2,983.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.92 : 5,299.52 = 2,162 : x
  2. Step 2: Convert to fraction form
    3,840.92/5,299.52 = 2,162/x
  3. Step 3: Cross multiply
    3,840.92x = 5,299.52 × 2,162
  4. Step 4: Simplify right side
    3,840.92x = 11,457,562.24
  5. Step 5: Solve for x
    x = 11,457,562.24/3,840.92
  6. Step 6: Final answer
    x = 2,983.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.