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Finding the Fourth Proportional to 3,635.87, 5,442.87 and 3,289.37

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Solution

The fourth proportional to 3,635.87, 5,442.87 and 3,289.37 is: 4,924.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.87 : 5,442.87 = 3,289.37 : x
  2. Step 2: Convert to fraction form
    3,635.87/5,442.87 = 3,289.37/x
  3. Step 3: Cross multiply
    3,635.87x = 5,442.87 × 3,289.37
  4. Step 4: Simplify right side
    3,635.87x = 17,903,613.29
  5. Step 5: Solve for x
    x = 17,903,613.29/3,635.87
  6. Step 6: Final answer
    x = 4,924.16

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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.