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Finding the Fourth Proportional to 3,711.81, 5,561.31 and 1,954.20

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Solution

The fourth proportional to 3,711.81, 5,561.31 and 1,954.20 is: 2,927.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.81 : 5,561.31 = 1,954.20 : x
  2. Step 2: Convert to fraction form
    3,711.81/5,561.31 = 1,954.20/x
  3. Step 3: Cross multiply
    3,711.81x = 5,561.31 × 1,954.20
  4. Step 4: Simplify right side
    3,711.81x = 10,867,912.00
  5. Step 5: Solve for x
    x = 10,867,912.00/3,711.81
  6. Step 6: Final answer
    x = 2,927.93

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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.