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Finding the Fourth Proportional to 26,589.50, 39,884.26 and 8,121.50

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Solution

The fourth proportional to 26,589.50, 39,884.26 and 8,121.50 is: 12,182.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,589.50 : 39,884.26 = 8,121.50 : x
  2. Step 2: Convert to fraction form
    26,589.50/39,884.26 = 8,121.50/x
  3. Step 3: Cross multiply
    26,589.50x = 39,884.26 × 8,121.50
  4. Step 4: Simplify right side
    26,589.50x = 323,920,017.59
  5. Step 5: Solve for x
    x = 323,920,017.59/26,589.50
  6. Step 6: Final answer
    x = 12,182.25

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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.