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Finding the Fourth Proportional to 3,385.70, 5,078.54 and 1,436.54

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Solution

The fourth proportional to 3,385.70, 5,078.54 and 1,436.54 is: 2,154.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,385.70 : 5,078.54 = 1,436.54 : x
  2. Step 2: Convert to fraction form
    3,385.70/5,078.54 = 1,436.54/x
  3. Step 3: Cross multiply
    3,385.70x = 5,078.54 × 1,436.54
  4. Step 4: Simplify right side
    3,385.70x = 7,295,525.85
  5. Step 5: Solve for x
    x = 7,295,525.85/3,385.70
  6. Step 6: Final answer
    x = 2,154.81

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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.