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Finding the Fourth Proportional to 2,770.56, 3,821.04 and 2,180.16

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Solution

The fourth proportional to 2,770.56, 3,821.04 and 2,180.16 is: 3,006.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.56 : 3,821.04 = 2,180.16 : x
  2. Step 2: Convert to fraction form
    2,770.56/3,821.04 = 2,180.16/x
  3. Step 3: Cross multiply
    2,770.56x = 3,821.04 × 2,180.16
  4. Step 4: Simplify right side
    2,770.56x = 8,330,478.57
  5. Step 5: Solve for x
    x = 8,330,478.57/2,770.56
  6. Step 6: Final answer
    x = 3,006.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.