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Finding the Fourth Proportional to 2,143.67, 3,215.12 and 682.49

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Solution

The fourth proportional to 2,143.67, 3,215.12 and 682.49 is: 1,023.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.67 : 3,215.12 = 682.49 : x
  2. Step 2: Convert to fraction form
    2,143.67/3,215.12 = 682.49/x
  3. Step 3: Cross multiply
    2,143.67x = 3,215.12 × 682.49
  4. Step 4: Simplify right side
    2,143.67x = 2,194,267.76
  5. Step 5: Solve for x
    x = 2,194,267.76/2,143.67
  6. Step 6: Final answer
    x = 1,023.61

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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.