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Finding the Fourth Proportional to 2,406.26, 3,611.02 and 867.26

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Solution

The fourth proportional to 2,406.26, 3,611.02 and 867.26 is: 1,301.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.26 : 3,611.02 = 867.26 : x
  2. Step 2: Convert to fraction form
    2,406.26/3,611.02 = 867.26/x
  3. Step 3: Cross multiply
    2,406.26x = 3,611.02 × 867.26
  4. Step 4: Simplify right side
    2,406.26x = 3,131,693.21
  5. Step 5: Solve for x
    x = 3,131,693.21/2,406.26
  6. Step 6: Final answer
    x = 1,301.48

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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.