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Finding the Fourth Proportional to 12,463.26, 17,198.19 and 7,157.58

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Solution

The fourth proportional to 12,463.26, 17,198.19 and 7,157.58 is: 9,876.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,463.26 : 17,198.19 = 7,157.58 : x
  2. Step 2: Convert to fraction form
    12,463.26/17,198.19 = 7,157.58/x
  3. Step 3: Cross multiply
    12,463.26x = 17,198.19 × 7,157.58
  4. Step 4: Simplify right side
    12,463.26x = 123,097,420.78
  5. Step 5: Solve for x
    x = 123,097,420.78/12,463.26
  6. Step 6: Final answer
    x = 9,876.82

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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.