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Finding the Fourth Proportional to 2,770.70, 3,822.14 and 1,591.04

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Solution

The fourth proportional to 2,770.70, 3,822.14 and 1,591.04 is: 2,194.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.70 : 3,822.14 = 1,591.04 : x
  2. Step 2: Convert to fraction form
    2,770.70/3,822.14 = 1,591.04/x
  3. Step 3: Cross multiply
    2,770.70x = 3,822.14 × 1,591.04
  4. Step 4: Simplify right side
    2,770.70x = 6,081,191.16
  5. Step 5: Solve for x
    x = 6,081,191.16/2,770.70
  6. Step 6: Final answer
    x = 2,194.83

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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.