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Finding the Fourth Proportional to 3,669.54, 5,064.57 and 2,489.82

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Solution

The fourth proportional to 3,669.54, 5,064.57 and 2,489.82 is: 3,436.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.54 : 5,064.57 = 2,489.82 : x
  2. Step 2: Convert to fraction form
    3,669.54/5,064.57 = 2,489.82/x
  3. Step 3: Cross multiply
    3,669.54x = 5,064.57 × 2,489.82
  4. Step 4: Simplify right side
    3,669.54x = 12,609,867.68
  5. Step 5: Solve for x
    x = 12,609,867.68/3,669.54
  6. Step 6: Final answer
    x = 3,436.36

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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.