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Finding the Fourth Proportional to 11,079, 15,289.38 and 6,111

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Solution

The fourth proportional to 11,079, 15,289.38 and 6,111 is: 8,433.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,079 : 15,289.38 = 6,111 : x
  2. Step 2: Convert to fraction form
    11,079/15,289.38 = 6,111/x
  3. Step 3: Cross multiply
    11,079x = 15,289.38 × 6,111
  4. Step 4: Simplify right side
    11,079x = 93,433,401.18
  5. Step 5: Solve for x
    x = 93,433,401.18/11,079
  6. Step 6: Final answer
    x = 8,433.38

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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.