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Finding the Fourth Proportional to 12,912.36, 19,368.90 and 3,678.36

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Solution

The fourth proportional to 12,912.36, 19,368.90 and 3,678.36 is: 5,517.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912.36 : 19,368.90 = 3,678.36 : x
  2. Step 2: Convert to fraction form
    12,912.36/19,368.90 = 3,678.36/x
  3. Step 3: Cross multiply
    12,912.36x = 19,368.90 × 3,678.36
  4. Step 4: Simplify right side
    12,912.36x = 71,245,787.00
  5. Step 5: Solve for x
    x = 71,245,787.00/12,912.36
  6. Step 6: Final answer
    x = 5,517.64

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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.