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Finding the Fourth Proportional to 1,800, 2,481.72 and 1,169.61

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Solution

The fourth proportional to 1,800, 2,481.72 and 1,169.61 is: 1,612.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800 : 2,481.72 = 1,169.61 : x
  2. Step 2: Convert to fraction form
    1,800/2,481.72 = 1,169.61/x
  3. Step 3: Cross multiply
    1,800x = 2,481.72 × 1,169.61
  4. Step 4: Simplify right side
    1,800x = 2,902,644.53
  5. Step 5: Solve for x
    x = 2,902,644.53/1,800
  6. Step 6: Final answer
    x = 1,612.58

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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.