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Finding the Fourth Proportional to 2,653.77, 3,976.03 and 1,611.57

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Solution

The fourth proportional to 2,653.77, 3,976.03 and 1,611.57 is: 2,414.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.77 : 3,976.03 = 1,611.57 : x
  2. Step 2: Convert to fraction form
    2,653.77/3,976.03 = 1,611.57/x
  3. Step 3: Cross multiply
    2,653.77x = 3,976.03 × 1,611.57
  4. Step 4: Simplify right side
    2,653.77x = 6,407,646.64
  5. Step 5: Solve for x
    x = 6,407,646.64/2,653.77
  6. Step 6: Final answer
    x = 2,414.54

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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.