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Finding the Fourth Proportional to 9,185.52, 13,777.98 and 3,991.40

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Solution

The fourth proportional to 9,185.52, 13,777.98 and 3,991.40 is: 5,986.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185.52 : 13,777.98 = 3,991.40 : x
  2. Step 2: Convert to fraction form
    9,185.52/13,777.98 = 3,991.40/x
  3. Step 3: Cross multiply
    9,185.52x = 13,777.98 × 3,991.40
  4. Step 4: Simplify right side
    9,185.52x = 54,993,429.37
  5. Step 5: Solve for x
    x = 54,993,429.37/9,185.52
  6. Step 6: Final answer
    x = 5,986.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.