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Finding the Fourth Proportional to 2,143.11, 3,214.77 and 682.23

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Solution

The fourth proportional to 2,143.11, 3,214.77 and 682.23 is: 1,023.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.11 : 3,214.77 = 682.23 : x
  2. Step 2: Convert to fraction form
    2,143.11/3,214.77 = 682.23/x
  3. Step 3: Cross multiply
    2,143.11x = 3,214.77 × 682.23
  4. Step 4: Simplify right side
    2,143.11x = 2,193,212.54
  5. Step 5: Solve for x
    x = 2,193,212.54/2,143.11
  6. Step 6: Final answer
    x = 1,023.38

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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.