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Finding the Fourth Proportional to 26,806, 40,209 and 9,271.12

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Solution

The fourth proportional to 26,806, 40,209 and 9,271.12 is: 13,906.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,806 : 40,209 = 9,271.12 : x
  2. Step 2: Convert to fraction form
    26,806/40,209 = 9,271.12/x
  3. Step 3: Cross multiply
    26,806x = 40,209 × 9,271.12
  4. Step 4: Simplify right side
    26,806x = 372,782,464.08
  5. Step 5: Solve for x
    x = 372,782,464.08/26,806
  6. Step 6: Final answer
    x = 13,906.68

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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.