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Finding the Fourth Proportional to 3,609.64, 4,979.81 and 2,431.09

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Solution

The fourth proportional to 3,609.64, 4,979.81 and 2,431.09 is: 3,353.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.64 : 4,979.81 = 2,431.09 : x
  2. Step 2: Convert to fraction form
    3,609.64/4,979.81 = 2,431.09/x
  3. Step 3: Cross multiply
    3,609.64x = 4,979.81 × 2,431.09
  4. Step 4: Simplify right side
    3,609.64x = 12,106,347.47
  5. Step 5: Solve for x
    x = 12,106,347.47/3,609.64
  6. Step 6: Final answer
    x = 3,353.90

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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.