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Finding the Fourth Proportional to 11,136, 15,367.71 and 6,168

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Solution

The fourth proportional to 11,136, 15,367.71 and 6,168 is: 8,511.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,136 : 15,367.71 = 6,168 : x
  2. Step 2: Convert to fraction form
    11,136/15,367.71 = 6,168/x
  3. Step 3: Cross multiply
    11,136x = 15,367.71 × 6,168
  4. Step 4: Simplify right side
    11,136x = 94,788,035.28
  5. Step 5: Solve for x
    x = 94,788,035.28/11,136
  6. Step 6: Final answer
    x = 8,511.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.