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Finding the Fourth Proportional to 2,388.23, 3,580.95 and 721.86

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Solution

The fourth proportional to 2,388.23, 3,580.95 and 721.86 is: 1,082.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.23 : 3,580.95 = 721.86 : x
  2. Step 2: Convert to fraction form
    2,388.23/3,580.95 = 721.86/x
  3. Step 3: Cross multiply
    2,388.23x = 3,580.95 × 721.86
  4. Step 4: Simplify right side
    2,388.23x = 2,584,944.57
  5. Step 5: Solve for x
    x = 2,584,944.57/2,388.23
  6. Step 6: Final answer
    x = 1,082.37

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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.