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Finding the Fourth Proportional to 43,781.76, 65,692.80 and 18,829.44

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Solution

The fourth proportional to 43,781.76, 65,692.80 and 18,829.44 is: 28,252.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,781.76 : 65,692.80 = 18,829.44 : x
  2. Step 2: Convert to fraction form
    43,781.76/65,692.80 = 18,829.44/x
  3. Step 3: Cross multiply
    43,781.76x = 65,692.80 × 18,829.44
  4. Step 4: Simplify right side
    43,781.76x = 1,236,958,636.03
  5. Step 5: Solve for x
    x = 1,236,958,636.03/43,781.76
  6. Step 6: Final answer
    x = 28,252.83

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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.