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Finding the Fourth Proportional to 12,374.61, 18,537.19 and 7,441.54

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Solution

The fourth proportional to 12,374.61, 18,537.19 and 7,441.54 is: 11,147.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374.61 : 18,537.19 = 7,441.54 : x
  2. Step 2: Convert to fraction form
    12,374.61/18,537.19 = 7,441.54/x
  3. Step 3: Cross multiply
    12,374.61x = 18,537.19 × 7,441.54
  4. Step 4: Simplify right side
    12,374.61x = 137,945,240.87
  5. Step 5: Solve for x
    x = 137,945,240.87/12,374.61
  6. Step 6: Final answer
    x = 11,147.44

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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.