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Finding the Fourth Proportional to 43,408.60, 65,112.90 and 13,828.60

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Solution

The fourth proportional to 43,408.60, 65,112.90 and 13,828.60 is: 20,742.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,408.60 : 65,112.90 = 13,828.60 : x
  2. Step 2: Convert to fraction form
    43,408.60/65,112.90 = 13,828.60/x
  3. Step 3: Cross multiply
    43,408.60x = 65,112.90 × 13,828.60
  4. Step 4: Simplify right side
    43,408.60x = 900,420,248.94
  5. Step 5: Solve for x
    x = 900,420,248.94/43,408.60
  6. Step 6: Final answer
    x = 20,742.90

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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.