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Finding the Fourth Proportional to 3,609.72, 4,982.97 and 2,431.47

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Solution

The fourth proportional to 3,609.72, 4,982.97 and 2,431.47 is: 3,356.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.72 : 4,982.97 = 2,431.47 : x
  2. Step 2: Convert to fraction form
    3,609.72/4,982.97 = 2,431.47/x
  3. Step 3: Cross multiply
    3,609.72x = 4,982.97 × 2,431.47
  4. Step 4: Simplify right side
    3,609.72x = 12,115,942.07
  5. Step 5: Solve for x
    x = 12,115,942.07/3,609.72
  6. Step 6: Final answer
    x = 3,356.48

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1.5x scale

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.