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Finding the Fourth Proportional to 1,964.70, 2,711.41 and 1,125.67

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Solution

The fourth proportional to 1,964.70, 2,711.41 and 1,125.67 is: 1,553.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.70 : 2,711.41 = 1,125.67 : x
  2. Step 2: Convert to fraction form
    1,964.70/2,711.41 = 1,125.67/x
  3. Step 3: Cross multiply
    1,964.70x = 2,711.41 × 1,125.67
  4. Step 4: Simplify right side
    1,964.70x = 3,052,143.30
  5. Step 5: Solve for x
    x = 3,052,143.30/1,964.70
  6. Step 6: Final answer
    x = 1,553.49

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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.