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Finding the Fourth Proportional to 7,092.75, 9,788.01 and 3,949.56

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Solution

The fourth proportional to 7,092.75, 9,788.01 and 3,949.56 is: 5,450.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.75 : 9,788.01 = 3,949.56 : x
  2. Step 2: Convert to fraction form
    7,092.75/9,788.01 = 3,949.56/x
  3. Step 3: Cross multiply
    7,092.75x = 9,788.01 × 3,949.56
  4. Step 4: Simplify right side
    7,092.75x = 38,658,332.78
  5. Step 5: Solve for x
    x = 38,658,332.78/7,092.75
  6. Step 6: Final answer
    x = 5,450.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.