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Finding the Fourth Proportional to 8,512, 12,772.32 and 3,896.16

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Solution

The fourth proportional to 8,512, 12,772.32 and 3,896.16 is: 5,846.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512 : 12,772.32 = 3,896.16 : x
  2. Step 2: Convert to fraction form
    8,512/12,772.32 = 3,896.16/x
  3. Step 3: Cross multiply
    8,512x = 12,772.32 × 3,896.16
  4. Step 4: Simplify right side
    8,512x = 49,763,002.29
  5. Step 5: Solve for x
    x = 49,763,002.29/8,512
  6. Step 6: Final answer
    x = 5,846.22

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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.