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Finding the Fourth Proportional to 3,161.29, 4,742.76 and 1,081.29

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Solution

The fourth proportional to 3,161.29, 4,742.76 and 1,081.29 is: 1,622.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.29 : 4,742.76 = 1,081.29 : x
  2. Step 2: Convert to fraction form
    3,161.29/4,742.76 = 1,081.29/x
  3. Step 3: Cross multiply
    3,161.29x = 4,742.76 × 1,081.29
  4. Step 4: Simplify right side
    3,161.29x = 5,128,298.96
  5. Step 5: Solve for x
    x = 5,128,298.96/3,161.29
  6. Step 6: Final answer
    x = 1,622.22

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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.