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Finding the Fourth Proportional to 3,716.96, 5,129.12 and 2,144

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Solution

The fourth proportional to 3,716.96, 5,129.12 and 2,144 is: 2,958.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.96 : 5,129.12 = 2,144 : x
  2. Step 2: Convert to fraction form
    3,716.96/5,129.12 = 2,144/x
  3. Step 3: Cross multiply
    3,716.96x = 5,129.12 × 2,144
  4. Step 4: Simplify right side
    3,716.96x = 10,996,833.28
  5. Step 5: Solve for x
    x = 10,996,833.28/3,716.96
  6. Step 6: Final answer
    x = 2,958.56

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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.