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Finding the Fourth Proportional to 38,508, 57,762.24 and 13,884

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Solution

The fourth proportional to 38,508, 57,762.24 and 13,884 is: 20,826.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,508 : 57,762.24 = 13,884 : x
  2. Step 2: Convert to fraction form
    38,508/57,762.24 = 13,884/x
  3. Step 3: Cross multiply
    38,508x = 57,762.24 × 13,884
  4. Step 4: Simplify right side
    38,508x = 801,970,940.16
  5. Step 5: Solve for x
    x = 801,970,940.16/38,508
  6. Step 6: Final answer
    x = 20,826.09

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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.