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Finding the Fourth Proportional to 2,660.76, 3,991.38 and 1,274.76

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Solution

The fourth proportional to 2,660.76, 3,991.38 and 1,274.76 is: 1,912.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.76 : 3,991.38 = 1,274.76 : x
  2. Step 2: Convert to fraction form
    2,660.76/3,991.38 = 1,274.76/x
  3. Step 3: Cross multiply
    2,660.76x = 3,991.38 × 1,274.76
  4. Step 4: Simplify right side
    2,660.76x = 5,088,051.57
  5. Step 5: Solve for x
    x = 5,088,051.57/2,660.76
  6. Step 6: Final answer
    x = 1,912.25

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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.