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Finding the Fourth Proportional to 13,732.82, 18,951.24 and 7,445.19

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Solution

The fourth proportional to 13,732.82, 18,951.24 and 7,445.19 is: 10,274.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,732.82 : 18,951.24 = 7,445.19 : x
  2. Step 2: Convert to fraction form
    13,732.82/18,951.24 = 7,445.19/x
  3. Step 3: Cross multiply
    13,732.82x = 18,951.24 × 7,445.19
  4. Step 4: Simplify right side
    13,732.82x = 141,095,582.54
  5. Step 5: Solve for x
    x = 141,095,582.54/13,732.82
  6. Step 6: Final answer
    x = 10,274.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.