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Finding the Fourth Proportional to 7,500, 11,250.56 and 2,883

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Solution

The fourth proportional to 7,500, 11,250.56 and 2,883 is: 4,324.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,500 : 11,250.56 = 2,883 : x
  2. Step 2: Convert to fraction form
    7,500/11,250.56 = 2,883/x
  3. Step 3: Cross multiply
    7,500x = 11,250.56 × 2,883
  4. Step 4: Simplify right side
    7,500x = 32,435,350.07
  5. Step 5: Solve for x
    x = 32,435,350.07/7,500
  6. Step 6: Final answer
    x = 4,324.71

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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.