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Finding the Fourth Proportional to 12,916, 19,374.18 and 3,682

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Solution

The fourth proportional to 12,916, 19,374.18 and 3,682 is: 5,523.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,916 : 19,374.18 = 3,682 : x
  2. Step 2: Convert to fraction form
    12,916/19,374.18 = 3,682/x
  3. Step 3: Cross multiply
    12,916x = 19,374.18 × 3,682
  4. Step 4: Simplify right side
    12,916x = 71,335,730.76
  5. Step 5: Solve for x
    x = 71,335,730.76/12,916
  6. Step 6: Final answer
    x = 5,523.05

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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.