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Finding the Fourth Proportional to 1,571.39, 2,168.36 and 941.90

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Solution

The fourth proportional to 1,571.39, 2,168.36 and 941.90 is: 1,299.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.39 : 2,168.36 = 941.90 : x
  2. Step 2: Convert to fraction form
    1,571.39/2,168.36 = 941.90/x
  3. Step 3: Cross multiply
    1,571.39x = 2,168.36 × 941.90
  4. Step 4: Simplify right side
    1,571.39x = 2,042,362.73
  5. Step 5: Solve for x
    x = 2,042,362.73/1,571.39
  6. Step 6: Final answer
    x = 1,299.72

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1.5x scale

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.