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Finding the Fourth Proportional to 30,383.70, 45,576 and 10,662.42

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Solution

The fourth proportional to 30,383.70, 45,576 and 10,662.42 is: 15,993.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,383.70 : 45,576 = 10,662.42 : x
  2. Step 2: Convert to fraction form
    30,383.70/45,576 = 10,662.42/x
  3. Step 3: Cross multiply
    30,383.70x = 45,576 × 10,662.42
  4. Step 4: Simplify right side
    30,383.70x = 485,950,453.92
  5. Step 5: Solve for x
    x = 485,950,453.92/30,383.70
  6. Step 6: Final answer
    x = 15,993.79

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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.