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Finding the Fourth Proportional to 11,136, 16,704.96 and 2,928

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Solution

The fourth proportional to 11,136, 16,704.96 and 2,928 is: 4,392.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,136 : 16,704.96 = 2,928 : x
  2. Step 2: Convert to fraction form
    11,136/16,704.96 = 2,928/x
  3. Step 3: Cross multiply
    11,136x = 16,704.96 × 2,928
  4. Step 4: Simplify right side
    11,136x = 48,912,122.88
  5. Step 5: Solve for x
    x = 48,912,122.88/11,136
  6. Step 6: Final answer
    x = 4,392.25

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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.