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Finding the Fourth Proportional to 9,249.54, 13,867.82 and 3,405.40

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Solution

The fourth proportional to 9,249.54, 13,867.82 and 3,405.40 is: 5,105.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.54 : 13,867.82 = 3,405.40 : x
  2. Step 2: Convert to fraction form
    9,249.54/13,867.82 = 3,405.40/x
  3. Step 3: Cross multiply
    9,249.54x = 13,867.82 × 3,405.40
  4. Step 4: Simplify right side
    9,249.54x = 47,225,474.23
  5. Step 5: Solve for x
    x = 47,225,474.23/9,249.54
  6. Step 6: Final answer
    x = 5,105.71

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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.