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Finding the Fourth Proportional to 2,364.31, 3,546.26 and 721.23

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Solution

The fourth proportional to 2,364.31, 3,546.26 and 721.23 is: 1,081.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.31 : 3,546.26 = 721.23 : x
  2. Step 2: Convert to fraction form
    2,364.31/3,546.26 = 721.23/x
  3. Step 3: Cross multiply
    2,364.31x = 3,546.26 × 721.23
  4. Step 4: Simplify right side
    2,364.31x = 2,557,669.10
  5. Step 5: Solve for x
    x = 2,557,669.10/2,364.31
  6. Step 6: Final answer
    x = 1,081.78

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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.