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Finding the Fourth Proportional to 43,412.80, 65,122.80 and 13,829.80

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Solution

The fourth proportional to 43,412.80, 65,122.80 and 13,829.80 is: 20,745.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,412.80 : 65,122.80 = 13,829.80 : x
  2. Step 2: Convert to fraction form
    43,412.80/65,122.80 = 13,829.80/x
  3. Step 3: Cross multiply
    43,412.80x = 65,122.80 × 13,829.80
  4. Step 4: Simplify right side
    43,412.80x = 900,635,299.44
  5. Step 5: Solve for x
    x = 900,635,299.44/43,412.80
  6. Step 6: Final answer
    x = 20,745.85

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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.