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Finding the Fourth Proportional to 26,666.52, 39,999.80 and 8,198.52

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Solution

The fourth proportional to 26,666.52, 39,999.80 and 8,198.52 is: 12,297.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,666.52 : 39,999.80 = 8,198.52 : x
  2. Step 2: Convert to fraction form
    26,666.52/39,999.80 = 8,198.52/x
  3. Step 3: Cross multiply
    26,666.52x = 39,999.80 × 8,198.52
  4. Step 4: Simplify right side
    26,666.52x = 327,939,160.30
  5. Step 5: Solve for x
    x = 327,939,160.30/26,666.52
  6. Step 6: Final answer
    x = 12,297.79

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1.5x scale

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.