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Finding the Fourth Proportional to 2,143.61, 3,215.66 and 682.43

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Solution

The fourth proportional to 2,143.61, 3,215.66 and 682.43 is: 1,023.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.61 : 3,215.66 = 682.43 : x
  2. Step 2: Convert to fraction form
    2,143.61/3,215.66 = 682.43/x
  3. Step 3: Cross multiply
    2,143.61x = 3,215.66 × 682.43
  4. Step 4: Simplify right side
    2,143.61x = 2,194,443.36
  5. Step 5: Solve for x
    x = 2,194,443.36/2,143.61
  6. Step 6: Final answer
    x = 1,023.71

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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.