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Finding the Fourth Proportional to 9,228, 13,842 and 3,072

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Solution

The fourth proportional to 9,228, 13,842 and 3,072 is: 4,608

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228 : 13,842 = 3,072 : x
  2. Step 2: Convert to fraction form
    9,228/13,842 = 3,072/x
  3. Step 3: Cross multiply
    9,228x = 13,842 × 3,072
  4. Step 4: Simplify right side
    9,228x = 42,522,624
  5. Step 5: Solve for x
    x = 42,522,624/9,228
  6. Step 6: Final answer
    x = 4,608

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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.