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Finding the Fourth Proportional to 2,142.90, 3,214.61 and 682.06

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Solution

The fourth proportional to 2,142.90, 3,214.61 and 682.06 is: 1,023.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.90 : 3,214.61 = 682.06 : x
  2. Step 2: Convert to fraction form
    2,142.90/3,214.61 = 682.06/x
  3. Step 3: Cross multiply
    2,142.90x = 3,214.61 × 682.06
  4. Step 4: Simplify right side
    2,142.90x = 2,192,558.60
  5. Step 5: Solve for x
    x = 2,192,558.60/2,142.90
  6. Step 6: Final answer
    x = 1,023.18

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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.