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Finding the Fourth Proportional to 2,214, 3,320.48 and 980.73

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Solution

The fourth proportional to 2,214, 3,320.48 and 980.73 is: 1,470.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214 : 3,320.48 = 980.73 : x
  2. Step 2: Convert to fraction form
    2,214/3,320.48 = 980.73/x
  3. Step 3: Cross multiply
    2,214x = 3,320.48 × 980.73
  4. Step 4: Simplify right side
    2,214x = 3,256,496.80
  5. Step 5: Solve for x
    x = 3,256,496.80/2,214
  6. Step 6: Final answer
    x = 1,470.87

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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.