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Finding the Fourth Proportional to 20,072, 30,108 and 5,480

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Solution

The fourth proportional to 20,072, 30,108 and 5,480 is: 8,220

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,072 : 30,108 = 5,480 : x
  2. Step 2: Convert to fraction form
    20,072/30,108 = 5,480/x
  3. Step 3: Cross multiply
    20,072x = 30,108 × 5,480
  4. Step 4: Simplify right side
    20,072x = 164,991,840
  5. Step 5: Solve for x
    x = 164,991,840/20,072
  6. Step 6: Final answer
    x = 8,220

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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.