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Finding the Fourth Proportional to 12,414.81, 17,134.94 and 7,378.07

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Solution

The fourth proportional to 12,414.81, 17,134.94 and 7,378.07 is: 10,183.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.81 : 17,134.94 = 7,378.07 : x
  2. Step 2: Convert to fraction form
    12,414.81/17,134.94 = 7,378.07/x
  3. Step 3: Cross multiply
    12,414.81x = 17,134.94 × 7,378.07
  4. Step 4: Simplify right side
    12,414.81x = 126,422,664.20
  5. Step 5: Solve for x
    x = 126,422,664.20/12,414.81
  6. Step 6: Final answer
    x = 10,183.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.