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Finding the Fourth Proportional to 25,280, 37,920 and 6,812

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Solution

The fourth proportional to 25,280, 37,920 and 6,812 is: 10,218

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,280 : 37,920 = 6,812 : x
  2. Step 2: Convert to fraction form
    25,280/37,920 = 6,812/x
  3. Step 3: Cross multiply
    25,280x = 37,920 × 6,812
  4. Step 4: Simplify right side
    25,280x = 258,311,040
  5. Step 5: Solve for x
    x = 258,311,040/25,280
  6. Step 6: Final answer
    x = 10,218

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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.