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Finding the Fourth Proportional to 12,681.82, 19,022.82 and 3,916.54

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Solution

The fourth proportional to 12,681.82, 19,022.82 and 3,916.54 is: 5,874.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,681.82 : 19,022.82 = 3,916.54 : x
  2. Step 2: Convert to fraction form
    12,681.82/19,022.82 = 3,916.54/x
  3. Step 3: Cross multiply
    12,681.82x = 19,022.82 × 3,916.54
  4. Step 4: Simplify right side
    12,681.82x = 74,503,635.44
  5. Step 5: Solve for x
    x = 74,503,635.44/12,681.82
  6. Step 6: Final answer
    x = 5,874.84

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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.