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Finding the Fourth Proportional to 36,000, 49,680 and 21,096

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Solution

The fourth proportional to 36,000, 49,680 and 21,096 is: 29,112.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,000 : 49,680 = 21,096 : x
  2. Step 2: Convert to fraction form
    36,000/49,680 = 21,096/x
  3. Step 3: Cross multiply
    36,000x = 49,680 × 21,096
  4. Step 4: Simplify right side
    36,000x = 1,048,049,280
  5. Step 5: Solve for x
    x = 1,048,049,280/36,000
  6. Step 6: Final answer
    x = 29,112.48

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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.