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Finding the Fourth Proportional to 8,215.16, 12,322.42 and 2,743.16

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Solution

The fourth proportional to 8,215.16, 12,322.42 and 2,743.16 is: 4,114.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.16 : 12,322.42 = 2,743.16 : x
  2. Step 2: Convert to fraction form
    8,215.16/12,322.42 = 2,743.16/x
  3. Step 3: Cross multiply
    8,215.16x = 12,322.42 × 2,743.16
  4. Step 4: Simplify right side
    8,215.16x = 33,802,369.65
  5. Step 5: Solve for x
    x = 33,802,369.65/8,215.16
  6. Step 6: Final answer
    x = 4,114.63

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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.