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Finding the Fourth Proportional to 2,406.98, 3,611.09 and 675.61

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Solution

The fourth proportional to 2,406.98, 3,611.09 and 675.61 is: 1,013.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.98 : 3,611.09 = 675.61 : x
  2. Step 2: Convert to fraction form
    2,406.98/3,611.09 = 675.61/x
  3. Step 3: Cross multiply
    2,406.98x = 3,611.09 × 675.61
  4. Step 4: Simplify right side
    2,406.98x = 2,439,682.88
  5. Step 5: Solve for x
    x = 2,439,682.88/2,406.98
  6. Step 6: Final answer
    x = 1,013.58

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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.