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Finding the Fourth Proportional to 7,716.92, 11,559.94 and 3,551.22

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Solution

The fourth proportional to 7,716.92, 11,559.94 and 3,551.22 is: 5,319.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.92 : 11,559.94 = 3,551.22 : x
  2. Step 2: Convert to fraction form
    7,716.92/11,559.94 = 3,551.22/x
  3. Step 3: Cross multiply
    7,716.92x = 11,559.94 × 3,551.22
  4. Step 4: Simplify right side
    7,716.92x = 41,051,890.13
  5. Step 5: Solve for x
    x = 41,051,890.13/7,716.92
  6. Step 6: Final answer
    x = 5,319.72

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Why These Related Problems?

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