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Finding the Fourth Proportional to 2,727.69, 3,761.65 and 2,170

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Solution

The fourth proportional to 2,727.69, 3,761.65 and 2,170 is: 2,992.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.69 : 3,761.65 = 2,170 : x
  2. Step 2: Convert to fraction form
    2,727.69/3,761.65 = 2,170/x
  3. Step 3: Cross multiply
    2,727.69x = 3,761.65 × 2,170
  4. Step 4: Simplify right side
    2,727.69x = 8,162,780.50
  5. Step 5: Solve for x
    x = 8,162,780.50/2,727.69
  6. Step 6: Final answer
    x = 2,992.56

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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.