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Finding the Fourth Proportional to 12,551.44, 18,824 and 5,157.94

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Solution

The fourth proportional to 12,551.44, 18,824 and 5,157.94 is: 7,735.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,551.44 : 18,824 = 5,157.94 : x
  2. Step 2: Convert to fraction form
    12,551.44/18,824 = 5,157.94/x
  3. Step 3: Cross multiply
    12,551.44x = 18,824 × 5,157.94
  4. Step 4: Simplify right side
    12,551.44x = 97,093,062.56
  5. Step 5: Solve for x
    x = 97,093,062.56/12,551.44
  6. Step 6: Final answer
    x = 7,735.61

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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.