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Finding the Fourth Proportional to 26,400, 39,550.56 and 13,236.96

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Solution

The fourth proportional to 26,400, 39,550.56 and 13,236.96 is: 19,830.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,400 : 39,550.56 = 13,236.96 : x
  2. Step 2: Convert to fraction form
    26,400/39,550.56 = 13,236.96/x
  3. Step 3: Cross multiply
    26,400x = 39,550.56 × 13,236.96
  4. Step 4: Simplify right side
    26,400x = 523,529,180.70
  5. Step 5: Solve for x
    x = 523,529,180.70/26,400
  6. Step 6: Final answer
    x = 19,830.65

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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.