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Finding the Fourth Proportional to 12,584.46, 18,864.38 and 5,195.14

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Solution

The fourth proportional to 12,584.46, 18,864.38 and 5,195.14 is: 7,787.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.46 : 18,864.38 = 5,195.14 : x
  2. Step 2: Convert to fraction form
    12,584.46/18,864.38 = 5,195.14/x
  3. Step 3: Cross multiply
    12,584.46x = 18,864.38 × 5,195.14
  4. Step 4: Simplify right side
    12,584.46x = 98,003,031.72
  5. Step 5: Solve for x
    x = 98,003,031.72/12,584.46
  6. Step 6: Final answer
    x = 7,787.62

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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.