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Finding the Fourth Proportional to 26,589.94, 39,891.72 and 7,869.22

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Solution

The fourth proportional to 26,589.94, 39,891.72 and 7,869.22 is: 11,805.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,589.94 : 39,891.72 = 7,869.22 : x
  2. Step 2: Convert to fraction form
    26,589.94/39,891.72 = 7,869.22/x
  3. Step 3: Cross multiply
    26,589.94x = 39,891.72 × 7,869.22
  4. Step 4: Simplify right side
    26,589.94x = 313,916,720.86
  5. Step 5: Solve for x
    x = 313,916,720.86/26,589.94
  6. Step 6: Final answer
    x = 11,805.85

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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.