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Finding the Fourth Proportional to 2,212.80, 3,320.40 and 980.40

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Solution

The fourth proportional to 2,212.80, 3,320.40 and 980.40 is: 1,471.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.80 : 3,320.40 = 980.40 : x
  2. Step 2: Convert to fraction form
    2,212.80/3,320.40 = 980.40/x
  3. Step 3: Cross multiply
    2,212.80x = 3,320.40 × 980.40
  4. Step 4: Simplify right side
    2,212.80x = 3,255,320.16
  5. Step 5: Solve for x
    x = 3,255,320.16/2,212.80
  6. Step 6: Final answer
    x = 1,471.13

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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.