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Finding the Fourth Proportional to 2,007.67, 2,770.05 and 1,221.70

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Solution

The fourth proportional to 2,007.67, 2,770.05 and 1,221.70 is: 1,685.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.67 : 2,770.05 = 1,221.70 : x
  2. Step 2: Convert to fraction form
    2,007.67/2,770.05 = 1,221.70/x
  3. Step 3: Cross multiply
    2,007.67x = 2,770.05 × 1,221.70
  4. Step 4: Simplify right side
    2,007.67x = 3,384,170.09
  5. Step 5: Solve for x
    x = 3,384,170.09/2,007.67
  6. Step 6: Final answer
    x = 1,685.62

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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.