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Finding the Fourth Proportional to 12,908.32, 19,362 and 3,674.32

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Solution

The fourth proportional to 12,908.32, 19,362 and 3,674.32 is: 5,511.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,908.32 : 19,362 = 3,674.32 : x
  2. Step 2: Convert to fraction form
    12,908.32/19,362 = 3,674.32/x
  3. Step 3: Cross multiply
    12,908.32x = 19,362 × 3,674.32
  4. Step 4: Simplify right side
    12,908.32x = 71,142,183.84
  5. Step 5: Solve for x
    x = 71,142,183.84/12,908.32
  6. Step 6: Final answer
    x = 5,511.34

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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.