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Finding the Fourth Proportional to 12,493.44, 18,769.32 and 7,302.96

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Solution

The fourth proportional to 12,493.44, 18,769.32 and 7,302.96 is: 10,971.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,493.44 : 18,769.32 = 7,302.96 : x
  2. Step 2: Convert to fraction form
    12,493.44/18,769.32 = 7,302.96/x
  3. Step 3: Cross multiply
    12,493.44x = 18,769.32 × 7,302.96
  4. Step 4: Simplify right side
    12,493.44x = 137,071,593.19
  5. Step 5: Solve for x
    x = 137,071,593.19/12,493.44
  6. Step 6: Final answer
    x = 10,971.49

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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.