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Finding the Fourth Proportional to 2,456.36, 3,684.94 and 725.16

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Solution

The fourth proportional to 2,456.36, 3,684.94 and 725.16 is: 1,087.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.36 : 3,684.94 = 725.16 : x
  2. Step 2: Convert to fraction form
    2,456.36/3,684.94 = 725.16/x
  3. Step 3: Cross multiply
    2,456.36x = 3,684.94 × 725.16
  4. Step 4: Simplify right side
    2,456.36x = 2,672,171.09
  5. Step 5: Solve for x
    x = 2,672,171.09/2,456.36
  6. Step 6: Final answer
    x = 1,087.86

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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.