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Finding the Fourth Proportional to 8,494, 11,716.64 and 5,344.72

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Solution

The fourth proportional to 8,494, 11,716.64 and 5,344.72 is: 7,372.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494 : 11,716.64 = 5,344.72 : x
  2. Step 2: Convert to fraction form
    8,494/11,716.64 = 5,344.72/x
  3. Step 3: Cross multiply
    8,494x = 11,716.64 × 5,344.72
  4. Step 4: Simplify right side
    8,494x = 62,622,160.14
  5. Step 5: Solve for x
    x = 62,622,160.14/8,494
  6. Step 6: Final answer
    x = 7,372.52

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Why These Related Problems?

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