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Finding the Fourth Proportional to 3,611.82, 5,417.89 and 1,764.57

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Solution

The fourth proportional to 3,611.82, 5,417.89 and 1,764.57 is: 2,646.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,611.82 : 5,417.89 = 1,764.57 : x
  2. Step 2: Convert to fraction form
    3,611.82/5,417.89 = 1,764.57/x
  3. Step 3: Cross multiply
    3,611.82x = 5,417.89 × 1,764.57
  4. Step 4: Simplify right side
    3,611.82x = 9,560,231.59
  5. Step 5: Solve for x
    x = 9,560,231.59/3,611.82
  6. Step 6: Final answer
    x = 2,646.93

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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.