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Finding the Fourth Proportional to 12,914, 19,374.24 and 3,680

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Solution

The fourth proportional to 12,914, 19,374.24 and 3,680 is: 5,520.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914 : 19,374.24 = 3,680 : x
  2. Step 2: Convert to fraction form
    12,914/19,374.24 = 3,680/x
  3. Step 3: Cross multiply
    12,914x = 19,374.24 × 3,680
  4. Step 4: Simplify right side
    12,914x = 71,297,203.20
  5. Step 5: Solve for x
    x = 71,297,203.20/12,914
  6. Step 6: Final answer
    x = 5,520.92

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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.