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Finding the Fourth Proportional to 3,635.54, 5,452.50 and 1,686.68

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Solution

The fourth proportional to 3,635.54, 5,452.50 and 1,686.68 is: 2,529.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.54 : 5,452.50 = 1,686.68 : x
  2. Step 2: Convert to fraction form
    3,635.54/5,452.50 = 1,686.68/x
  3. Step 3: Cross multiply
    3,635.54x = 5,452.50 × 1,686.68
  4. Step 4: Simplify right side
    3,635.54x = 9,196,622.70
  5. Step 5: Solve for x
    x = 9,196,622.70/3,635.54
  6. Step 6: Final answer
    x = 2,529.64

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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.