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Finding the Fourth Proportional to 26,740, 40,112.16 and 8,272

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Solution

The fourth proportional to 26,740, 40,112.16 and 8,272 is: 12,408.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,740 : 40,112.16 = 8,272 : x
  2. Step 2: Convert to fraction form
    26,740/40,112.16 = 8,272/x
  3. Step 3: Cross multiply
    26,740x = 40,112.16 × 8,272
  4. Step 4: Simplify right side
    26,740x = 331,807,787.52
  5. Step 5: Solve for x
    x = 331,807,787.52/26,740
  6. Step 6: Final answer
    x = 12,408.67

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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.