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Finding the Fourth Proportional to 1,930.23, 2,892.81 and 890.09

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Solution

The fourth proportional to 1,930.23, 2,892.81 and 890.09 is: 1,333.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.23 : 2,892.81 = 890.09 : x
  2. Step 2: Convert to fraction form
    1,930.23/2,892.81 = 890.09/x
  3. Step 3: Cross multiply
    1,930.23x = 2,892.81 × 890.09
  4. Step 4: Simplify right side
    1,930.23x = 2,574,860.97
  5. Step 5: Solve for x
    x = 2,574,860.97/1,930.23
  6. Step 6: Final answer
    x = 1,333.97

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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.