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Finding the Fourth Proportional to 6,136, 9,204 and 1,519

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Solution

The fourth proportional to 6,136, 9,204 and 1,519 is: 2,278.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136 : 9,204 = 1,519 : x
  2. Step 2: Convert to fraction form
    6,136/9,204 = 1,519/x
  3. Step 3: Cross multiply
    6,136x = 9,204 × 1,519
  4. Step 4: Simplify right side
    6,136x = 13,980,876
  5. Step 5: Solve for x
    x = 13,980,876/6,136
  6. Step 6: Final answer
    x = 2,278.50

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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.