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Finding the Fourth Proportional to 2,372.30, 3,558.45 and 728.86

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Solution

The fourth proportional to 2,372.30, 3,558.45 and 728.86 is: 1,093.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.30 : 3,558.45 = 728.86 : x
  2. Step 2: Convert to fraction form
    2,372.30/3,558.45 = 728.86/x
  3. Step 3: Cross multiply
    2,372.30x = 3,558.45 × 728.86
  4. Step 4: Simplify right side
    2,372.30x = 2,593,611.87
  5. Step 5: Solve for x
    x = 2,593,611.87/2,372.30
  6. Step 6: Final answer
    x = 1,093.29

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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.