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Finding the Fourth Proportional to 3,842, 5,301.96 and 2,186

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Solution

The fourth proportional to 3,842, 5,301.96 and 2,186 is: 3,016.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842 : 5,301.96 = 2,186 : x
  2. Step 2: Convert to fraction form
    3,842/5,301.96 = 2,186/x
  3. Step 3: Cross multiply
    3,842x = 5,301.96 × 2,186
  4. Step 4: Simplify right side
    3,842x = 11,590,084.56
  5. Step 5: Solve for x
    x = 11,590,084.56/3,842
  6. Step 6: Final answer
    x = 3,016.68

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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.