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Finding the Fourth Proportional to 1,941.75, 2,912.97 and 901.05

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Solution

The fourth proportional to 1,941.75, 2,912.97 and 901.05 is: 1,351.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.75 : 2,912.97 = 901.05 : x
  2. Step 2: Convert to fraction form
    1,941.75/2,912.97 = 901.05/x
  3. Step 3: Cross multiply
    1,941.75x = 2,912.97 × 901.05
  4. Step 4: Simplify right side
    1,941.75x = 2,624,731.62
  5. Step 5: Solve for x
    x = 2,624,731.62/1,941.75
  6. Step 6: Final answer
    x = 1,351.74

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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.