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Finding the Fourth Proportional to 2,005, 2,767.31 and 1,165.89

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Solution

The fourth proportional to 2,005, 2,767.31 and 1,165.89 is: 1,609.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005 : 2,767.31 = 1,165.89 : x
  2. Step 2: Convert to fraction form
    2,005/2,767.31 = 1,165.89/x
  3. Step 3: Cross multiply
    2,005x = 2,767.31 × 1,165.89
  4. Step 4: Simplify right side
    2,005x = 3,226,379.06
  5. Step 5: Solve for x
    x = 3,226,379.06/2,005
  6. Step 6: Final answer
    x = 1,609.17

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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.