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Finding the Fourth Proportional to 7,500, 11,250 and 2,028

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Solution

The fourth proportional to 7,500, 11,250 and 2,028 is: 3,042

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,500 : 11,250 = 2,028 : x
  2. Step 2: Convert to fraction form
    7,500/11,250 = 2,028/x
  3. Step 3: Cross multiply
    7,500x = 11,250 × 2,028
  4. Step 4: Simplify right side
    7,500x = 22,815,000
  5. Step 5: Solve for x
    x = 22,815,000/7,500
  6. Step 6: Final answer
    x = 3,042

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.