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Finding the Fourth Proportional to 1,992.51, 2,748.81 and 1,284.21

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Solution

The fourth proportional to 1,992.51, 2,748.81 and 1,284.21 is: 1,771.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.51 : 2,748.81 = 1,284.21 : x
  2. Step 2: Convert to fraction form
    1,992.51/2,748.81 = 1,284.21/x
  3. Step 3: Cross multiply
    1,992.51x = 2,748.81 × 1,284.21
  4. Step 4: Simplify right side
    1,992.51x = 3,530,049.29
  5. Step 5: Solve for x
    x = 3,530,049.29/1,992.51
  6. Step 6: Final answer
    x = 1,771.66

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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.