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Finding the Fourth Proportional to 30,660.94, 45,991.40 and 8,171.62

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Solution

The fourth proportional to 30,660.94, 45,991.40 and 8,171.62 is: 12,257.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,660.94 : 45,991.40 = 8,171.62 : x
  2. Step 2: Convert to fraction form
    30,660.94/45,991.40 = 8,171.62/x
  3. Step 3: Cross multiply
    30,660.94x = 45,991.40 × 8,171.62
  4. Step 4: Simplify right side
    30,660.94x = 375,824,244.07
  5. Step 5: Solve for x
    x = 375,824,244.07/30,660.94
  6. Step 6: Final answer
    x = 12,257.43

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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.