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Finding the Fourth Proportional to 3,162.71, 4,744.06 and 1,213.55

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Solution

The fourth proportional to 3,162.71, 4,744.06 and 1,213.55 is: 1,820.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.71 : 4,744.06 = 1,213.55 : x
  2. Step 2: Convert to fraction form
    3,162.71/4,744.06 = 1,213.55/x
  3. Step 3: Cross multiply
    3,162.71x = 4,744.06 × 1,213.55
  4. Step 4: Simplify right side
    3,162.71x = 5,757,145.05
  5. Step 5: Solve for x
    x = 5,757,145.05/3,162.71
  6. Step 6: Final answer
    x = 1,820.32

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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.