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Finding the Fourth Proportional to 2,127.96, 3,190.80 and 940.92

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Solution

The fourth proportional to 2,127.96, 3,190.80 and 940.92 is: 1,410.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.96 : 3,190.80 = 940.92 : x
  2. Step 2: Convert to fraction form
    2,127.96/3,190.80 = 940.92/x
  3. Step 3: Cross multiply
    2,127.96x = 3,190.80 × 940.92
  4. Step 4: Simplify right side
    2,127.96x = 3,002,287.54
  5. Step 5: Solve for x
    x = 3,002,287.54/2,127.96
  6. Step 6: Final answer
    x = 1,410.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.