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Finding the Fourth Proportional to 8,136, 12,204 and 3,522.24

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Solution

The fourth proportional to 8,136, 12,204 and 3,522.24 is: 5,283.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,136 : 12,204 = 3,522.24 : x
  2. Step 2: Convert to fraction form
    8,136/12,204 = 3,522.24/x
  3. Step 3: Cross multiply
    8,136x = 12,204 × 3,522.24
  4. Step 4: Simplify right side
    8,136x = 42,985,416.96
  5. Step 5: Solve for x
    x = 42,985,416.96/8,136
  6. Step 6: Final answer
    x = 5,283.36

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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.