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Finding the Fourth Proportional to 2,609, 3,600.42 and 1,505.64

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Solution

The fourth proportional to 2,609, 3,600.42 and 1,505.64 is: 2,077.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609 : 3,600.42 = 1,505.64 : x
  2. Step 2: Convert to fraction form
    2,609/3,600.42 = 1,505.64/x
  3. Step 3: Cross multiply
    2,609x = 3,600.42 × 1,505.64
  4. Step 4: Simplify right side
    2,609x = 5,420,936.37
  5. Step 5: Solve for x
    x = 5,420,936.37/2,609
  6. Step 6: Final answer
    x = 2,077.78

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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.