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Finding the Fourth Proportional to 6,806, 9,396.12 and 5,147.12

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Solution

The fourth proportional to 6,806, 9,396.12 and 5,147.12 is: 7,105.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806 : 9,396.12 = 5,147.12 : x
  2. Step 2: Convert to fraction form
    6,806/9,396.12 = 5,147.12/x
  3. Step 3: Cross multiply
    6,806x = 9,396.12 × 5,147.12
  4. Step 4: Simplify right side
    6,806x = 48,362,957.17
  5. Step 5: Solve for x
    x = 48,362,957.17/6,806
  6. Step 6: Final answer
    x = 7,105.93

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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.