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Finding the Fourth Proportional to 12,826, 19,183.41 and 7,548.43

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Solution

The fourth proportional to 12,826, 19,183.41 and 7,548.43 is: 11,289.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,826 : 19,183.41 = 7,548.43 : x
  2. Step 2: Convert to fraction form
    12,826/19,183.41 = 7,548.43/x
  3. Step 3: Cross multiply
    12,826x = 19,183.41 × 7,548.43
  4. Step 4: Simplify right side
    12,826x = 144,804,627.55
  5. Step 5: Solve for x
    x = 144,804,627.55/12,826
  6. Step 6: Final answer
    x = 11,289.93

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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.