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Finding the Fourth Proportional to 38,524, 53,163.12 and 20,860

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Solution

The fourth proportional to 38,524, 53,163.12 and 20,860 is: 28,786.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,524 : 53,163.12 = 20,860 : x
  2. Step 2: Convert to fraction form
    38,524/53,163.12 = 20,860/x
  3. Step 3: Cross multiply
    38,524x = 53,163.12 × 20,860
  4. Step 4: Simplify right side
    38,524x = 1,108,982,683.20
  5. Step 5: Solve for x
    x = 1,108,982,683.20/38,524
  6. Step 6: Final answer
    x = 28,786.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.