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Finding the Fourth Proportional to 3,962.64, 5,945.38 and 2,405.82

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Solution

The fourth proportional to 3,962.64, 5,945.38 and 2,405.82 is: 3,609.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.64 : 5,945.38 = 2,405.82 : x
  2. Step 2: Convert to fraction form
    3,962.64/5,945.38 = 2,405.82/x
  3. Step 3: Cross multiply
    3,962.64x = 5,945.38 × 2,405.82
  4. Step 4: Simplify right side
    3,962.64x = 14,303,514.11
  5. Step 5: Solve for x
    x = 14,303,514.11/3,962.64
  6. Step 6: Final answer
    x = 3,609.59

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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.