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Finding the Fourth Proportional to 3,138.45, 4,709.82 and 1,086.45

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Solution

The fourth proportional to 3,138.45, 4,709.82 and 1,086.45 is: 1,630.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.45 : 4,709.82 = 1,086.45 : x
  2. Step 2: Convert to fraction form
    3,138.45/4,709.82 = 1,086.45/x
  3. Step 3: Cross multiply
    3,138.45x = 4,709.82 × 1,086.45
  4. Step 4: Simplify right side
    3,138.45x = 5,116,983.94
  5. Step 5: Solve for x
    x = 5,116,983.94/3,138.45
  6. Step 6: Final answer
    x = 1,630.42

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1.5x scale

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.