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Finding the Fourth Proportional to 47,760, 71,640 and 18,576

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Solution

The fourth proportional to 47,760, 71,640 and 18,576 is: 27,864

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,760 : 71,640 = 18,576 : x
  2. Step 2: Convert to fraction form
    47,760/71,640 = 18,576/x
  3. Step 3: Cross multiply
    47,760x = 71,640 × 18,576
  4. Step 4: Simplify right side
    47,760x = 1,330,784,640
  5. Step 5: Solve for x
    x = 1,330,784,640/47,760
  6. Step 6: Final answer
    x = 27,864

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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.