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Finding the Fourth Proportional to 26,914, 40,379.22 and 13,775.68

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Solution

The fourth proportional to 26,914, 40,379.22 and 13,775.68 is: 20,667.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,914 : 40,379.22 = 13,775.68 : x
  2. Step 2: Convert to fraction form
    26,914/40,379.22 = 13,775.68/x
  3. Step 3: Cross multiply
    26,914x = 40,379.22 × 13,775.68
  4. Step 4: Simplify right side
    26,914x = 556,251,213.37
  5. Step 5: Solve for x
    x = 556,251,213.37/26,914
  6. Step 6: Final answer
    x = 20,667.73

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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.