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Finding the Fourth Proportional to 26,268, 39,408.84 and 7,800

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Solution

The fourth proportional to 26,268, 39,408.84 and 7,800 is: 11,702.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,268 : 39,408.84 = 7,800 : x
  2. Step 2: Convert to fraction form
    26,268/39,408.84 = 7,800/x
  3. Step 3: Cross multiply
    26,268x = 39,408.84 × 7,800
  4. Step 4: Simplify right side
    26,268x = 307,388,952
  5. Step 5: Solve for x
    x = 307,388,952/26,268
  6. Step 6: Final answer
    x = 11,702.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.