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Finding the Fourth Proportional to 2,142.80, 3,214.50 and 682.06

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Solution

The fourth proportional to 2,142.80, 3,214.50 and 682.06 is: 1,023.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.80 : 3,214.50 = 682.06 : x
  2. Step 2: Convert to fraction form
    2,142.80/3,214.50 = 682.06/x
  3. Step 3: Cross multiply
    2,142.80x = 3,214.50 × 682.06
  4. Step 4: Simplify right side
    2,142.80x = 2,192,481.87
  5. Step 5: Solve for x
    x = 2,192,481.87/2,142.80
  6. Step 6: Final answer
    x = 1,023.19

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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.