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Finding the Fourth Proportional to 3,671.85, 5,508.14 and 1,205.67

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Solution

The fourth proportional to 3,671.85, 5,508.14 and 1,205.67 is: 1,808.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.85 : 5,508.14 = 1,205.67 : x
  2. Step 2: Convert to fraction form
    3,671.85/5,508.14 = 1,205.67/x
  3. Step 3: Cross multiply
    3,671.85x = 5,508.14 × 1,205.67
  4. Step 4: Simplify right side
    3,671.85x = 6,640,993.13
  5. Step 5: Solve for x
    x = 6,640,993.13/3,671.85
  6. Step 6: Final answer
    x = 1,808.62

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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.