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Finding the Fourth Proportional to 3,161.44, 4,742.16 and 2,066.71

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Solution

The fourth proportional to 3,161.44, 4,742.16 and 2,066.71 is: 3,100.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.44 : 4,742.16 = 2,066.71 : x
  2. Step 2: Convert to fraction form
    3,161.44/4,742.16 = 2,066.71/x
  3. Step 3: Cross multiply
    3,161.44x = 4,742.16 × 2,066.71
  4. Step 4: Simplify right side
    3,161.44x = 9,800,669.49
  5. Step 5: Solve for x
    x = 9,800,669.49/3,161.44
  6. Step 6: Final answer
    x = 3,100.07

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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.