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Finding the Fourth Proportional to 47,911.92, 71,861.28 and 12,852

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Solution

The fourth proportional to 47,911.92, 71,861.28 and 12,852 is: 19,276.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,911.92 : 71,861.28 = 12,852 : x
  2. Step 2: Convert to fraction form
    47,911.92/71,861.28 = 12,852/x
  3. Step 3: Cross multiply
    47,911.92x = 71,861.28 × 12,852
  4. Step 4: Simplify right side
    47,911.92x = 923,561,170.56
  5. Step 5: Solve for x
    x = 923,561,170.56/47,911.92
  6. Step 6: Final answer
    x = 19,276.23

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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.