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Finding the Fourth Proportional to 1,855.37, 2,546.76 and 1,640.84

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Solution

The fourth proportional to 1,855.37, 2,546.76 and 1,640.84 is: 2,252.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.37 : 2,546.76 = 1,640.84 : x
  2. Step 2: Convert to fraction form
    1,855.37/2,546.76 = 1,640.84/x
  3. Step 3: Cross multiply
    1,855.37x = 2,546.76 × 1,640.84
  4. Step 4: Simplify right side
    1,855.37x = 4,178,812.94
  5. Step 5: Solve for x
    x = 4,178,812.94/1,855.37
  6. Step 6: Final answer
    x = 2,252.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.