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Finding the Fourth Proportional to 3,788.92, 5,687.07 and 2,330.92

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Solution

The fourth proportional to 3,788.92, 5,687.07 and 2,330.92 is: 3,498.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.92 : 5,687.07 = 2,330.92 : x
  2. Step 2: Convert to fraction form
    3,788.92/5,687.07 = 2,330.92/x
  3. Step 3: Cross multiply
    3,788.92x = 5,687.07 × 2,330.92
  4. Step 4: Simplify right side
    3,788.92x = 13,256,105.20
  5. Step 5: Solve for x
    x = 13,256,105.20/3,788.92
  6. Step 6: Final answer
    x = 3,498.65

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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.