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Finding the Fourth Proportional to 12,231.84, 18,347.77 and 2,997.84

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Solution

The fourth proportional to 12,231.84, 18,347.77 and 2,997.84 is: 4,496.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,231.84 : 18,347.77 = 2,997.84 : x
  2. Step 2: Convert to fraction form
    12,231.84/18,347.77 = 2,997.84/x
  3. Step 3: Cross multiply
    12,231.84x = 18,347.77 × 2,997.84
  4. Step 4: Simplify right side
    12,231.84x = 55,003,734.51
  5. Step 5: Solve for x
    x = 55,003,734.51/12,231.84
  6. Step 6: Final answer
    x = 4,496.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.