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Finding the Fourth Proportional to 2,609.63, 3,600.84 and 1,724.96

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Solution

The fourth proportional to 2,609.63, 3,600.84 and 1,724.96 is: 2,380.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.63 : 3,600.84 = 1,724.96 : x
  2. Step 2: Convert to fraction form
    2,609.63/3,600.84 = 1,724.96/x
  3. Step 3: Cross multiply
    2,609.63x = 3,600.84 × 1,724.96
  4. Step 4: Simplify right side
    2,609.63x = 6,211,286.96
  5. Step 5: Solve for x
    x = 6,211,286.96/2,609.63
  6. Step 6: Final answer
    x = 2,380.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.