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Finding the Fourth Proportional to 11,136.32, 15,367.77 and 6,100.42

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Solution

The fourth proportional to 11,136.32, 15,367.77 and 6,100.42 is: 8,418.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,136.32 : 15,367.77 = 6,100.42 : x
  2. Step 2: Convert to fraction form
    11,136.32/15,367.77 = 6,100.42/x
  3. Step 3: Cross multiply
    11,136.32x = 15,367.77 × 6,100.42
  4. Step 4: Simplify right side
    11,136.32x = 93,749,813.04
  5. Step 5: Solve for x
    x = 93,749,813.04/11,136.32
  6. Step 6: Final answer
    x = 8,418.38

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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.