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Finding the Fourth Proportional to 7,472, 11,208 and 2,000

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Solution

The fourth proportional to 7,472, 11,208 and 2,000 is: 3,000

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472 : 11,208 = 2,000 : x
  2. Step 2: Convert to fraction form
    7,472/11,208 = 2,000/x
  3. Step 3: Cross multiply
    7,472x = 11,208 × 2,000
  4. Step 4: Simplify right side
    7,472x = 22,416,000
  5. Step 5: Solve for x
    x = 22,416,000/7,472
  6. Step 6: Final answer
    x = 3,000

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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.