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Finding the Fourth Proportional to 2,168.56, 3,256.08 and 2,136.16

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Solution

The fourth proportional to 2,168.56, 3,256.08 and 2,136.16 is: 3,207.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.56 : 3,256.08 = 2,136.16 : x
  2. Step 2: Convert to fraction form
    2,168.56/3,256.08 = 2,136.16/x
  3. Step 3: Cross multiply
    2,168.56x = 3,256.08 × 2,136.16
  4. Step 4: Simplify right side
    2,168.56x = 6,955,507.85
  5. Step 5: Solve for x
    x = 6,955,507.85/2,168.56
  6. Step 6: Final answer
    x = 3,207.43

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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.