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Finding the Fourth Proportional to 2,142.82, 3,214.21 and 682.08

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Solution

The fourth proportional to 2,142.82, 3,214.21 and 682.08 is: 1,023.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.82 : 3,214.21 = 682.08 : x
  2. Step 2: Convert to fraction form
    2,142.82/3,214.21 = 682.08/x
  3. Step 3: Cross multiply
    2,142.82x = 3,214.21 × 682.08
  4. Step 4: Simplify right side
    2,142.82x = 2,192,348.36
  5. Step 5: Solve for x
    x = 2,192,348.36/2,142.82
  6. Step 6: Final answer
    x = 1,023.11

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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.