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Finding the Fourth Proportional to 3,472.38, 4,791.90 and 1,900.48

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Solution

The fourth proportional to 3,472.38, 4,791.90 and 1,900.48 is: 2,622.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.38 : 4,791.90 = 1,900.48 : x
  2. Step 2: Convert to fraction form
    3,472.38/4,791.90 = 1,900.48/x
  3. Step 3: Cross multiply
    3,472.38x = 4,791.90 × 1,900.48
  4. Step 4: Simplify right side
    3,472.38x = 9,106,910.11
  5. Step 5: Solve for x
    x = 9,106,910.11/3,472.38
  6. Step 6: Final answer
    x = 2,622.67

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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.