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Finding the Fourth Proportional to 9,163.86, 12,656.49 and 6,174.51

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Solution

The fourth proportional to 9,163.86, 12,656.49 and 6,174.51 is: 8,527.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.86 : 12,656.49 = 6,174.51 : x
  2. Step 2: Convert to fraction form
    9,163.86/12,656.49 = 6,174.51/x
  3. Step 3: Cross multiply
    9,163.86x = 12,656.49 × 6,174.51
  4. Step 4: Simplify right side
    9,163.86x = 78,147,624.07
  5. Step 5: Solve for x
    x = 78,147,624.07/9,163.86
  6. Step 6: Final answer
    x = 8,527.81

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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.