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Finding the Fourth Proportional to 3,412.86, 4,709.10 and 1,996.47

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Solution

The fourth proportional to 3,412.86, 4,709.10 and 1,996.47 is: 2,754.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.86 : 4,709.10 = 1,996.47 : x
  2. Step 2: Convert to fraction form
    3,412.86/4,709.10 = 1,996.47/x
  3. Step 3: Cross multiply
    3,412.86x = 4,709.10 × 1,996.47
  4. Step 4: Simplify right side
    3,412.86x = 9,401,576.88
  5. Step 5: Solve for x
    x = 9,401,576.88/3,412.86
  6. Step 6: Final answer
    x = 2,754.75

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1.5x scale

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.