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Finding the Fourth Proportional to 2,660.80, 3,662.40 and 1,960.96

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Solution

The fourth proportional to 2,660.80, 3,662.40 and 1,960.96 is: 2,699.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.80 : 3,662.40 = 1,960.96 : x
  2. Step 2: Convert to fraction form
    2,660.80/3,662.40 = 1,960.96/x
  3. Step 3: Cross multiply
    2,660.80x = 3,662.40 × 1,960.96
  4. Step 4: Simplify right side
    2,660.80x = 7,181,819.90
  5. Step 5: Solve for x
    x = 7,181,819.90/2,660.80
  6. Step 6: Final answer
    x = 2,699.12

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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.