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Finding the Fourth Proportional to 11,093, 15,308.38 and 6,125

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Solution

The fourth proportional to 11,093, 15,308.38 and 6,125 is: 8,452.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,093 : 15,308.38 = 6,125 : x
  2. Step 2: Convert to fraction form
    11,093/15,308.38 = 6,125/x
  3. Step 3: Cross multiply
    11,093x = 15,308.38 × 6,125
  4. Step 4: Simplify right side
    11,093x = 93,763,827.50
  5. Step 5: Solve for x
    x = 93,763,827.50/11,093
  6. Step 6: Final answer
    x = 8,452.52

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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.