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Finding the Fourth Proportional to 3,256.49, 4,892.03 and 1,958.87

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Solution

The fourth proportional to 3,256.49, 4,892.03 and 1,958.87 is: 2,942.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.49 : 4,892.03 = 1,958.87 : x
  2. Step 2: Convert to fraction form
    3,256.49/4,892.03 = 1,958.87/x
  3. Step 3: Cross multiply
    3,256.49x = 4,892.03 × 1,958.87
  4. Step 4: Simplify right side
    3,256.49x = 9,582,816.55
  5. Step 5: Solve for x
    x = 9,582,816.55/3,256.49
  6. Step 6: Final answer
    x = 2,942.69

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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.