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Finding the Fourth Proportional to 11,072.75, 15,280.40 and 6,104.75

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Solution

The fourth proportional to 11,072.75, 15,280.40 and 6,104.75 is: 8,424.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,072.75 : 15,280.40 = 6,104.75 : x
  2. Step 2: Convert to fraction form
    11,072.75/15,280.40 = 6,104.75/x
  3. Step 3: Cross multiply
    11,072.75x = 15,280.40 × 6,104.75
  4. Step 4: Simplify right side
    11,072.75x = 93,282,991.38
  5. Step 5: Solve for x
    x = 93,282,991.38/11,072.75
  6. Step 6: Final answer
    x = 8,424.56

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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.