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Finding the Fourth Proportional to 3,747, 5,620.50 and 1,281.78

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Solution

The fourth proportional to 3,747, 5,620.50 and 1,281.78 is: 1,922.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747 : 5,620.50 = 1,281.78 : x
  2. Step 2: Convert to fraction form
    3,747/5,620.50 = 1,281.78/x
  3. Step 3: Cross multiply
    3,747x = 5,620.50 × 1,281.78
  4. Step 4: Simplify right side
    3,747x = 7,204,244.49
  5. Step 5: Solve for x
    x = 7,204,244.49/3,747
  6. Step 6: Final answer
    x = 1,922.67

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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.