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Finding the Fourth Proportional to 1,890.69, 2,837.80 and 966.92

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Solution

The fourth proportional to 1,890.69, 2,837.80 and 966.92 is: 1,451.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890.69 : 2,837.80 = 966.92 : x
  2. Step 2: Convert to fraction form
    1,890.69/2,837.80 = 966.92/x
  3. Step 3: Cross multiply
    1,890.69x = 2,837.80 × 966.92
  4. Step 4: Simplify right side
    1,890.69x = 2,743,912.60
  5. Step 5: Solve for x
    x = 2,743,912.60/1,890.69
  6. Step 6: Final answer
    x = 1,451.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.