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Finding the Fourth Proportional to 1,992.40, 3,001.90 and 1,834.96

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Solution

The fourth proportional to 1,992.40, 3,001.90 and 1,834.96 is: 2,764.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.40 : 3,001.90 = 1,834.96 : x
  2. Step 2: Convert to fraction form
    1,992.40/3,001.90 = 1,834.96/x
  3. Step 3: Cross multiply
    1,992.40x = 3,001.90 × 1,834.96
  4. Step 4: Simplify right side
    1,992.40x = 5,508,366.42
  5. Step 5: Solve for x
    x = 5,508,366.42/1,992.40
  6. Step 6: Final answer
    x = 2,764.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.