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Finding the Fourth Proportional to 11,880, 17,820 and 3,672

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Solution

The fourth proportional to 11,880, 17,820 and 3,672 is: 5,508

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,880 : 17,820 = 3,672 : x
  2. Step 2: Convert to fraction form
    11,880/17,820 = 3,672/x
  3. Step 3: Cross multiply
    11,880x = 17,820 × 3,672
  4. Step 4: Simplify right side
    11,880x = 65,435,040
  5. Step 5: Solve for x
    x = 65,435,040/11,880
  6. Step 6: Final answer
    x = 5,508

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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.