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Finding the Fourth Proportional to 7,393, 10,202.34 and 4,081

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Solution

The fourth proportional to 7,393, 10,202.34 and 4,081 is: 5,631.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,393 : 10,202.34 = 4,081 : x
  2. Step 2: Convert to fraction form
    7,393/10,202.34 = 4,081/x
  3. Step 3: Cross multiply
    7,393x = 10,202.34 × 4,081
  4. Step 4: Simplify right side
    7,393x = 41,635,749.54
  5. Step 5: Solve for x
    x = 41,635,749.54/7,393
  6. Step 6: Final answer
    x = 5,631.78

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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.