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Finding the Fourth Proportional to 12,692.64, 19,035.60 and 3,456.48

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Solution

The fourth proportional to 12,692.64, 19,035.60 and 3,456.48 is: 5,183.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692.64 : 19,035.60 = 3,456.48 : x
  2. Step 2: Convert to fraction form
    12,692.64/19,035.60 = 3,456.48/x
  3. Step 3: Cross multiply
    12,692.64x = 19,035.60 × 3,456.48
  4. Step 4: Simplify right side
    12,692.64x = 65,796,170.69
  5. Step 5: Solve for x
    x = 65,796,170.69/12,692.64
  6. Step 6: Final answer
    x = 5,183.80

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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.