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Finding the Fourth Proportional to 43,408.78, 65,115.16 and 13,823.84

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Solution

The fourth proportional to 43,408.78, 65,115.16 and 13,823.84 is: 20,736.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,408.78 : 65,115.16 = 13,823.84 : x
  2. Step 2: Convert to fraction form
    43,408.78/65,115.16 = 13,823.84/x
  3. Step 3: Cross multiply
    43,408.78x = 65,115.16 × 13,823.84
  4. Step 4: Simplify right side
    43,408.78x = 900,141,553.41
  5. Step 5: Solve for x
    x = 900,141,553.41/43,408.78
  6. Step 6: Final answer
    x = 20,736.39

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1.5x scale

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.