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Finding the Fourth Proportional to 2,763.92, 3,814.62 and 1,644.96

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Solution

The fourth proportional to 2,763.92, 3,814.62 and 1,644.96 is: 2,270.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.92 : 3,814.62 = 1,644.96 : x
  2. Step 2: Convert to fraction form
    2,763.92/3,814.62 = 1,644.96/x
  3. Step 3: Cross multiply
    2,763.92x = 3,814.62 × 1,644.96
  4. Step 4: Simplify right side
    2,763.92x = 6,274,905.45
  5. Step 5: Solve for x
    x = 6,274,905.45/2,763.92
  6. Step 6: Final answer
    x = 2,270.29

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1.5x scale

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.