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Finding the Fourth Proportional to 39,939, 55,115.82 and 22,275

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Solution

The fourth proportional to 39,939, 55,115.82 and 22,275 is: 30,739.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,939 : 55,115.82 = 22,275 : x
  2. Step 2: Convert to fraction form
    39,939/55,115.82 = 22,275/x
  3. Step 3: Cross multiply
    39,939x = 55,115.82 × 22,275
  4. Step 4: Simplify right side
    39,939x = 1,227,704,890.50
  5. Step 5: Solve for x
    x = 1,227,704,890.50/39,939
  6. Step 6: Final answer
    x = 30,739.50

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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.