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Finding the Fourth Proportional to 11,083, 15,294.56 and 6,115

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Solution

The fourth proportional to 11,083, 15,294.56 and 6,115 is: 8,438.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,083 : 15,294.56 = 6,115 : x
  2. Step 2: Convert to fraction form
    11,083/15,294.56 = 6,115/x
  3. Step 3: Cross multiply
    11,083x = 15,294.56 × 6,115
  4. Step 4: Simplify right side
    11,083x = 93,526,234.40
  5. Step 5: Solve for x
    x = 93,526,234.40/11,083
  6. Step 6: Final answer
    x = 8,438.71

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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.