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Finding the Fourth Proportional to 2,212.22, 3,319.50 and 980.84

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Solution

The fourth proportional to 2,212.22, 3,319.50 and 980.84 is: 1,471.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.22 : 3,319.50 = 980.84 : x
  2. Step 2: Convert to fraction form
    2,212.22/3,319.50 = 980.84/x
  3. Step 3: Cross multiply
    2,212.22x = 3,319.50 × 980.84
  4. Step 4: Simplify right side
    2,212.22x = 3,255,898.38
  5. Step 5: Solve for x
    x = 3,255,898.38/2,212.22
  6. Step 6: Final answer
    x = 1,471.78

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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.