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Finding the Fourth Proportional to 2,007.70, 2,770.64 and 1,221.90

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Solution

The fourth proportional to 2,007.70, 2,770.64 and 1,221.90 is: 1,686.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.70 : 2,770.64 = 1,221.90 : x
  2. Step 2: Convert to fraction form
    2,007.70/2,770.64 = 1,221.90/x
  3. Step 3: Cross multiply
    2,007.70x = 2,770.64 × 1,221.90
  4. Step 4: Simplify right side
    2,007.70x = 3,385,448.68
  5. Step 5: Solve for x
    x = 3,385,448.68/2,007.70
  6. Step 6: Final answer
    x = 1,686.23

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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.