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Finding the Fourth Proportional to 2,221, 3,332.04 and 682

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Solution

The fourth proportional to 2,221, 3,332.04 and 682 is: 1,023.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221 : 3,332.04 = 682 : x
  2. Step 2: Convert to fraction form
    2,221/3,332.04 = 682/x
  3. Step 3: Cross multiply
    2,221x = 3,332.04 × 682
  4. Step 4: Simplify right side
    2,221x = 2,272,451.28
  5. Step 5: Solve for x
    x = 2,272,451.28/2,221
  6. Step 6: Final answer
    x = 1,023.17

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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.