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Finding the Fourth Proportional to 2,406.52, 3,609.78 and 945.82

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Solution

The fourth proportional to 2,406.52, 3,609.78 and 945.82 is: 1,418.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.52 : 3,609.78 = 945.82 : x
  2. Step 2: Convert to fraction form
    2,406.52/3,609.78 = 945.82/x
  3. Step 3: Cross multiply
    2,406.52x = 3,609.78 × 945.82
  4. Step 4: Simplify right side
    2,406.52x = 3,414,202.12
  5. Step 5: Solve for x
    x = 3,414,202.12/2,406.52
  6. Step 6: Final answer
    x = 1,418.73

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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.