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Finding the Fourth Proportional to 12,471.92, 18,678 and 6,912.08

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Solution

The fourth proportional to 12,471.92, 18,678 and 6,912.08 is: 10,351.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.92 : 18,678 = 6,912.08 : x
  2. Step 2: Convert to fraction form
    12,471.92/18,678 = 6,912.08/x
  3. Step 3: Cross multiply
    12,471.92x = 18,678 × 6,912.08
  4. Step 4: Simplify right side
    12,471.92x = 129,103,830.24
  5. Step 5: Solve for x
    x = 129,103,830.24/12,471.92
  6. Step 6: Final answer
    x = 10,351.56

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1.5x scale

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.