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Finding the Fourth Proportional to 38,650.50, 57,983.04 and 17,874

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Solution

The fourth proportional to 38,650.50, 57,983.04 and 17,874 is: 26,814.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,650.50 : 57,983.04 = 17,874 : x
  2. Step 2: Convert to fraction form
    38,650.50/57,983.04 = 17,874/x
  3. Step 3: Cross multiply
    38,650.50x = 57,983.04 × 17,874
  4. Step 4: Simplify right side
    38,650.50x = 1,036,388,856.96
  5. Step 5: Solve for x
    x = 1,036,388,856.96/38,650.50
  6. Step 6: Final answer
    x = 26,814.37

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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.