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Finding the Fourth Proportional to 12,451, 18,679.44 and 3,685.60

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Solution

The fourth proportional to 12,451, 18,679.44 and 3,685.60 is: 5,529.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,451 : 18,679.44 = 3,685.60 : x
  2. Step 2: Convert to fraction form
    12,451/18,679.44 = 3,685.60/x
  3. Step 3: Cross multiply
    12,451x = 18,679.44 × 3,685.60
  4. Step 4: Simplify right side
    12,451x = 68,844,944.06
  5. Step 5: Solve for x
    x = 68,844,944.06/12,451
  6. Step 6: Final answer
    x = 5,529.27

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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.