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Finding the Fourth Proportional to 7,245, 9,998.10 and 3,933

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Solution

The fourth proportional to 7,245, 9,998.10 and 3,933 is: 5,427.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,245 : 9,998.10 = 3,933 : x
  2. Step 2: Convert to fraction form
    7,245/9,998.10 = 3,933/x
  3. Step 3: Cross multiply
    7,245x = 9,998.10 × 3,933
  4. Step 4: Simplify right side
    7,245x = 39,322,527.30
  5. Step 5: Solve for x
    x = 39,322,527.30/7,245
  6. Step 6: Final answer
    x = 5,427.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.